What is the Greatest Common Factor of 64464 and 64474?

Greatest common factor (GCF) of 64464 and 64474 is 2.

GCF(64464,64474) = 2

We will now calculate the prime factors of 64464 and 64474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64464 and 64474.

How to find the GCF of 64464 and 64474?

We will first find the prime factorization of 64464 and 64474. After we will calculate the factors of 64464 and 64474 and find the biggest common factor number .

Step-1: Prime Factorization of 64464

Prime factors of 64464 are 2, 3, 17, 79. Prime factorization of 64464 in exponential form is:

64464 = 2⁴ × 3¹ × 17¹ × 79¹

Step-2: Prime Factorization of 64474

Prime factors of 64474 are 2, 32237. Prime factorization of 64474 in exponential form is:

64474 = 2¹ × 32237¹

Step-3: Factors of 64464

List of positive integer factors of 64464 that divides 64464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 79, 102, 136, 158, 204, 237, 272, 316, 408, 474, 632, 816, 948, 1264, 1343, 1896, 2686, 3792, 4029, 5372, 8058, 10744, 16116, 21488, 32232

Step-4: Factors of 64474

List of positive integer factors of 64474 that divides 64464 without a remainder.

1, 2, 32237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64464 and 64474. The biggest common factor number is the GCF number.
So the greatest common factor 64464 and 64474 is 2.

Also check out the Least Common Multiple of 64464 and 64474