What is the Greatest Common Factor of 64642 and 64656?

Greatest common factor (GCF) of 64642 and 64656 is 2.

GCF(64642,64656) = 2

We will now calculate the prime factors of 64642 and 64656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64642 and 64656.

How to find the GCF of 64642 and 64656?

We will first find the prime factorization of 64642 and 64656. After we will calculate the factors of 64642 and 64656 and find the biggest common factor number .

Step-1: Prime Factorization of 64642

Prime factors of 64642 are 2, 32321. Prime factorization of 64642 in exponential form is:

64642 = 2¹ × 32321¹

Step-2: Prime Factorization of 64656

Prime factors of 64656 are 2, 3, 449. Prime factorization of 64656 in exponential form is:

64656 = 2⁴ × 3² × 449¹

Step-3: Factors of 64642

List of positive integer factors of 64642 that divides 64642 without a remainder.

1, 2, 32321

Step-4: Factors of 64656

List of positive integer factors of 64656 that divides 64642 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 7184, 8082, 10776, 16164, 21552, 32328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64642 and 64656. The biggest common factor number is the GCF number.
So the greatest common factor 64642 and 64656 is 2.

Also check out the Least Common Multiple of 64642 and 64656