What is the Greatest Common Factor of 69264 and 69272?

Greatest common factor (GCF) of 69264 and 69272 is 8.

GCF(69264,69272) = 8

We will now calculate the prime factors of 69264 and 69272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69264 and 69272.

How to find the GCF of 69264 and 69272?

We will first find the prime factorization of 69264 and 69272. After we will calculate the factors of 69264 and 69272 and find the biggest common factor number .

Step-1: Prime Factorization of 69264

Prime factors of 69264 are 2, 3, 13, 37. Prime factorization of 69264 in exponential form is:

69264 = 2⁴ × 3² × 13¹ × 37¹

Step-2: Prime Factorization of 69272

Prime factors of 69272 are 2, 7, 1237. Prime factorization of 69272 in exponential form is:

69272 = 2³ × 7¹ × 1237¹

Step-3: Factors of 69264

List of positive integer factors of 69264 that divides 69264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 37, 39, 48, 52, 72, 74, 78, 104, 111, 117, 144, 148, 156, 208, 222, 234, 296, 312, 333, 444, 468, 481, 592, 624, 666, 888, 936, 962, 1332, 1443, 1776, 1872, 1924, 2664, 2886, 3848, 4329, 5328, 5772, 7696, 8658, 11544, 17316, 23088, 34632

Step-4: Factors of 69272

List of positive integer factors of 69272 that divides 69264 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1237, 2474, 4948, 8659, 9896, 17318, 34636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69264 and 69272. The biggest common factor number is the GCF number.
So the greatest common factor 69264 and 69272 is 8.

Also check out the Least Common Multiple of 69264 and 69272