What is the Greatest Common Factor of 9072 and 9089?
Greatest common factor (GCF) of 9072 and 9089 is 1.
GCF(9072,9089) = 1
We will now calculate the prime factors of 9072 and 9089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9072 and 9089.
How to find the GCF of 9072 and 9089?
We will first find the prime factorization of 9072 and 9089. After we will calculate the factors of 9072 and 9089 and find the biggest common factor number .
Step-1: Prime Factorization of 9072
Prime factors of 9072 are 2, 3, 7. Prime factorization of 9072 in exponential form is:
9072 = 24 × 34 × 71
Step-2: Prime Factorization of 9089
Prime factors of 9089 are 61, 149. Prime factorization of 9089 in exponential form is:
9089 = 611 × 1491
Step-3: Factors of 9072
List of positive integer factors of 9072 that divides 9072 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536
Step-4: Factors of 9089
List of positive integer factors of 9089 that divides 9072 without a remainder.
1, 61, 149
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9072 and 9089. The biggest common factor number is the GCF number.
So the greatest common factor 9072 and 9089 is 1.
Also check out the Least Common Multiple of 9072 and 9089
Related Greatest Common Factors of 9072
- GCF of 9072 and 9076
- GCF of 9072 and 9077
- GCF of 9072 and 9078
- GCF of 9072 and 9079
- GCF of 9072 and 9080
- GCF of 9072 and 9081
- GCF of 9072 and 9082
- GCF of 9072 and 9083
- GCF of 9072 and 9084
- GCF of 9072 and 9085
- GCF of 9072 and 9086
- GCF of 9072 and 9087
- GCF of 9072 and 9088
- GCF of 9072 and 9089
- GCF of 9072 and 9090
- GCF of 9072 and 9091
- GCF of 9072 and 9092
Related Greatest Common Factors of 9089
- GCF of 9089 and 9093
- GCF of 9089 and 9094
- GCF of 9089 and 9095
- GCF of 9089 and 9096
- GCF of 9089 and 9097
- GCF of 9089 and 9098
- GCF of 9089 and 9099
- GCF of 9089 and 9100
- GCF of 9089 and 9101
- GCF of 9089 and 9102
- GCF of 9089 and 9103
- GCF of 9089 and 9104
- GCF of 9089 and 9105
- GCF of 9089 and 9106
- GCF of 9089 and 9107
- GCF of 9089 and 9108
- GCF of 9089 and 9109