What is the Greatest Common Factor of 69264 and 69277?

Greatest common factor (GCF) of 69264 and 69277 is 13.

GCF(69264,69277) = 13

We will now calculate the prime factors of 69264 and 69277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69264 and 69277.

How to find the GCF of 69264 and 69277?

We will first find the prime factorization of 69264 and 69277. After we will calculate the factors of 69264 and 69277 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 69277

Prime factors of 69277 are 13, 73. Prime factorization of 69277 in exponential form is:

69277 = 13¹ × 73²

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 69277

List of positive integer factors of 69277 that divides 69264 without a remainder.

1, 13, 73, 949, 5329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69264 and 69277. The biggest common factor number is the GCF number.
So the greatest common factor 69264 and 69277 is 13.

Also check out the Least Common Multiple of 69264 and 69277