What is the Greatest Common Factor of 69264 and 69278?

Greatest common factor (GCF) of 69264 and 69278 is 2.

GCF(69264,69278) = 2

We will now calculate the prime factors of 69264 and 69278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69264 and 69278.

How to find the GCF of 69264 and 69278?

We will first find the prime factorization of 69264 and 69278. After we will calculate the factors of 69264 and 69278 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 69278

Prime factors of 69278 are 2, 11, 47, 67. Prime factorization of 69278 in exponential form is:

69278 = 2¹ × 11¹ × 47¹ × 67¹

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 69278

List of positive integer factors of 69278 that divides 69264 without a remainder.

1, 2, 11, 22, 47, 67, 94, 134, 517, 737, 1034, 1474, 3149, 6298, 34639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69264 and 69278. The biggest common factor number is the GCF number.
So the greatest common factor 69264 and 69278 is 2.

Also check out the Least Common Multiple of 69264 and 69278