What is the Greatest Common Factor of 64448 and 64464?

Greatest common factor (GCF) of 64448 and 64464 is 16.

GCF(64448,64464) = 16

We will now calculate the prime factors of 64448 and 64464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64448 and 64464.

How to find the GCF of 64448 and 64464?

We will first find the prime factorization of 64448 and 64464. After we will calculate the factors of 64448 and 64464 and find the biggest common factor number .

Step-1: Prime Factorization of 64448

Prime factors of 64448 are 2, 19, 53. Prime factorization of 64448 in exponential form is:

64448 = 2⁶ × 19¹ × 53¹

Step-2: 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-3: Factors of 64448

List of positive integer factors of 64448 that divides 64448 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 53, 64, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1216, 1696, 2014, 3392, 4028, 8056, 16112, 32224

Step-4: Factors of 64464

List of positive integer factors of 64464 that divides 64448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64448 and 64464. The biggest common factor number is the GCF number.
So the greatest common factor 64448 and 64464 is 16.

Also check out the Least Common Multiple of 64448 and 64464