What is the Greatest Common Factor of 68642 and 68656?

Greatest common factor (GCF) of 68642 and 68656 is 14.

GCF(68642,68656) = 14

We will now calculate the prime factors of 68642 and 68656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68642 and 68656.

How to find the GCF of 68642 and 68656?

We will first find the prime factorization of 68642 and 68656. After we will calculate the factors of 68642 and 68656 and find the biggest common factor number .

Step-1: Prime Factorization of 68642

Prime factors of 68642 are 2, 7, 4903. Prime factorization of 68642 in exponential form is:

68642 = 2¹ × 7¹ × 4903¹

Step-2: Prime Factorization of 68656

Prime factors of 68656 are 2, 7, 613. Prime factorization of 68656 in exponential form is:

68656 = 2⁴ × 7¹ × 613¹

Step-3: Factors of 68642

List of positive integer factors of 68642 that divides 68642 without a remainder.

1, 2, 7, 14, 4903, 9806, 34321

Step-4: Factors of 68656

List of positive integer factors of 68656 that divides 68642 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 613, 1226, 2452, 4291, 4904, 8582, 9808, 17164, 34328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68642 and 68656. The biggest common factor number is the GCF number.
So the greatest common factor 68642 and 68656 is 14.

Also check out the Least Common Multiple of 68642 and 68656