What is the Greatest Common Factor of 65676 and 65694?
Greatest common factor (GCF) of 65676 and 65694 is 6.
GCF(65676,65694) = 6
We will now calculate the prime factors of 65676 and 65694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65676 and 65694.
How to find the GCF of 65676 and 65694?
We will first find the prime factorization of 65676 and 65694. After we will calculate the factors of 65676 and 65694 and find the biggest common factor number .
Step-1: Prime Factorization of 65676
Prime factors of 65676 are 2, 3, 13, 421. Prime factorization of 65676 in exponential form is:
65676 = 22 × 31 × 131 × 4211
Step-2: Prime Factorization of 65694
Prime factors of 65694 are 2, 3, 10949. Prime factorization of 65694 in exponential form is:
65694 = 21 × 31 × 109491
Step-3: Factors of 65676
List of positive integer factors of 65676 that divides 65676 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 421, 842, 1263, 1684, 2526, 5052, 5473, 10946, 16419, 21892, 32838
Step-4: Factors of 65694
List of positive integer factors of 65694 that divides 65676 without a remainder.
1, 2, 3, 6, 10949, 21898, 32847
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65676 and 65694. The biggest common factor number is the GCF number.
So the greatest common factor 65676 and 65694 is 6.
Also check out the Least Common Multiple of 65676 and 65694
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