What is the Greatest Common Factor of 69264 and 69280?

Greatest common factor (GCF) of 69264 and 69280 is 16.

GCF(69264,69280) = 16

We will now calculate the prime factors of 69264 and 69280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69264 and 69280.

How to find the GCF of 69264 and 69280?

We will first find the prime factorization of 69264 and 69280. After we will calculate the factors of 69264 and 69280 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 69280

Prime factors of 69280 are 2, 5, 433. Prime factorization of 69280 in exponential form is:

69280 = 2⁵ × 5¹ × 433¹

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 69280

List of positive integer factors of 69280 that divides 69264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 433, 866, 1732, 2165, 3464, 4330, 6928, 8660, 13856, 17320, 34640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69264 and 69280. The biggest common factor number is the GCF number.
So the greatest common factor 69264 and 69280 is 16.

Also check out the Least Common Multiple of 69264 and 69280