What is the Greatest Common Factor of 64464 and 64473?

Greatest common factor (GCF) of 64464 and 64473 is 3.

GCF(64464,64473) = 3

We will now calculate the prime factors of 64464 and 64473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64464 and 64473.

How to find the GCF of 64464 and 64473?

We will first find the prime factorization of 64464 and 64473. After we will calculate the factors of 64464 and 64473 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 64473

Prime factors of 64473 are 3, 21491. Prime factorization of 64473 in exponential form is:

64473 = 3¹ × 21491¹

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 64473

List of positive integer factors of 64473 that divides 64464 without a remainder.

1, 3, 21491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64464 and 64473. The biggest common factor number is the GCF number.
So the greatest common factor 64464 and 64473 is 3.

Also check out the Least Common Multiple of 64464 and 64473