What is the Greatest Common Factor of 5976 and 5980?
Greatest common factor (GCF) of 5976 and 5980 is 4.
GCF(5976,5980) = 4
We will now calculate the prime factors of 5976 and 5980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5976 and 5980.
How to find the GCF of 5976 and 5980?
We will first find the prime factorization of 5976 and 5980. After we will calculate the factors of 5976 and 5980 and find the biggest common factor number .
Step-1: Prime Factorization of 5976
Prime factors of 5976 are 2, 3, 83. Prime factorization of 5976 in exponential form is:
5976 = 23 × 32 × 831
Step-2: Prime Factorization of 5980
Prime factors of 5980 are 2, 5, 13, 23. Prime factorization of 5980 in exponential form is:
5980 = 22 × 51 × 131 × 231
Step-3: Factors of 5976
List of positive integer factors of 5976 that divides 5976 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988
Step-4: Factors of 5980
List of positive integer factors of 5980 that divides 5976 without a remainder.
1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5976 and 5980. The biggest common factor number is the GCF number.
So the greatest common factor 5976 and 5980 is 4.
Also check out the Least Common Multiple of 5976 and 5980
Related Greatest Common Factors of 5976
- GCF of 5976 and 5980
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- GCF of 5976 and 5984
- GCF of 5976 and 5985
- GCF of 5976 and 5986
- GCF of 5976 and 5987
- GCF of 5976 and 5988
- GCF of 5976 and 5989
- GCF of 5976 and 5990
- GCF of 5976 and 5991
- GCF of 5976 and 5992
- GCF of 5976 and 5993
- GCF of 5976 and 5994
- GCF of 5976 and 5995
- GCF of 5976 and 5996
Related Greatest Common Factors of 5980
- GCF of 5980 and 5984
- GCF of 5980 and 5985
- GCF of 5980 and 5986
- GCF of 5980 and 5987
- GCF of 5980 and 5988
- GCF of 5980 and 5989
- GCF of 5980 and 5990
- GCF of 5980 and 5991
- GCF of 5980 and 5992
- GCF of 5980 and 5993
- GCF of 5980 and 5994
- GCF of 5980 and 5995
- GCF of 5980 and 5996
- GCF of 5980 and 5997
- GCF of 5980 and 5998
- GCF of 5980 and 5999
- GCF of 5980 and 6000