What is the Greatest Common Factor of 84939 and 84945?
Greatest common factor (GCF) of 84939 and 84945 is 3.
GCF(84939,84945) = 3
We will now calculate the prime factors of 84939 and 84945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84939 and 84945.
How to find the GCF of 84939 and 84945?
We will first find the prime factorization of 84939 and 84945. After we will calculate the factors of 84939 and 84945 and find the biggest common factor number .
Step-1: Prime Factorization of 84939
Prime factors of 84939 are 3, 23, 1231. Prime factorization of 84939 in exponential form is:
84939 = 31 × 231 × 12311
Step-2: Prime Factorization of 84945
Prime factors of 84945 are 3, 5, 7, 809. Prime factorization of 84945 in exponential form is:
84945 = 31 × 51 × 71 × 8091
Step-3: Factors of 84939
List of positive integer factors of 84939 that divides 84939 without a remainder.
1, 3, 23, 69, 1231, 3693, 28313
Step-4: Factors of 84945
List of positive integer factors of 84945 that divides 84939 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105, 809, 2427, 4045, 5663, 12135, 16989, 28315
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 84939 and 84945. The biggest common factor number is the GCF number.
So the greatest common factor 84939 and 84945 is 3.
Also check out the Least Common Multiple of 84939 and 84945
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