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What is the Greatest Common Factor of 77662 and 77675?

Greatest common factor (GCF) of 77662 and 77675 is 13.

GCF(77662,77675) = 13

We will now calculate the prime factors of 77662 and 77675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77662 and 77675.

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How to find the GCF of 77662 and 77675?

We will first find the prime factorization of 77662 and 77675. After we will calculate the factors of 77662 and 77675 and find the biggest common factor number .

Step-1: Prime Factorization of 77662

Prime factors of 77662 are 2, 13, 29, 103. Prime factorization of 77662 in exponential form is:

77662 = 21 × 131 × 291 × 1031

Step-2: Prime Factorization of 77675

Prime factors of 77675 are 5, 13, 239. Prime factorization of 77675 in exponential form is:

77675 = 52 × 131 × 2391

Step-3: Factors of 77662

List of positive integer factors of 77662 that divides 77662 without a remainder.

1, 2, 13, 26, 29, 58, 103, 206, 377, 754, 1339, 2678, 2987, 5974, 38831

Step-4: Factors of 77675

List of positive integer factors of 77675 that divides 77662 without a remainder.

1, 5, 13, 25, 65, 239, 325, 1195, 3107, 5975, 15535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77662 and 77675. The biggest common factor number is the GCF number.
So the greatest common factor 77662 and 77675 is 13.

Also check out the Least Common Multiple of 77662 and 77675