What is the Greatest Common Factor of 64744 and 64764?

Greatest common factor (GCF) of 64744 and 64764 is 4.

GCF(64744,64764) = 4

We will now calculate the prime factors of 64744 and 64764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64744 and 64764.

How to find the GCF of 64744 and 64764?

We will first find the prime factorization of 64744 and 64764. After we will calculate the factors of 64744 and 64764 and find the biggest common factor number .

Step-1: Prime Factorization of 64744

Prime factors of 64744 are 2, 8093. Prime factorization of 64744 in exponential form is:

64744 = 2³ × 8093¹

Step-2: Prime Factorization of 64764

Prime factors of 64764 are 2, 3, 7, 257. Prime factorization of 64764 in exponential form is:

64764 = 2² × 3² × 7¹ × 257¹

Step-3: Factors of 64744

List of positive integer factors of 64744 that divides 64744 without a remainder.

1, 2, 4, 8, 8093, 16186, 32372

Step-4: Factors of 64764

List of positive integer factors of 64764 that divides 64744 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 257, 514, 771, 1028, 1542, 1799, 2313, 3084, 3598, 4626, 5397, 7196, 9252, 10794, 16191, 21588, 32382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64744 and 64764. The biggest common factor number is the GCF number.
So the greatest common factor 64744 and 64764 is 4.

Also check out the Least Common Multiple of 64744 and 64764