What is the Greatest Common Factor of 22512 and 22524?

Greatest common factor (GCF) of 22512 and 22524 is 12.

GCF(22512,22524) = 12

We will now calculate the prime factors of 22512 and 22524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22512 and 22524.

How to find the GCF of 22512 and 22524?

We will first find the prime factorization of 22512 and 22524. After we will calculate the factors of 22512 and 22524 and find the biggest common factor number .

Step-1: Prime Factorization of 22512

Prime factors of 22512 are 2, 3, 7, 67. Prime factorization of 22512 in exponential form is:

22512 = 2⁴ × 3¹ × 7¹ × 67¹

Step-2: Prime Factorization of 22524

Prime factors of 22524 are 2, 3, 1877. Prime factorization of 22524 in exponential form is:

22524 = 2² × 3¹ × 1877¹

Step-3: Factors of 22512

List of positive integer factors of 22512 that divides 22512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 67, 84, 112, 134, 168, 201, 268, 336, 402, 469, 536, 804, 938, 1072, 1407, 1608, 1876, 2814, 3216, 3752, 5628, 7504, 11256

Step-4: Factors of 22524

List of positive integer factors of 22524 that divides 22512 without a remainder.

1, 2, 3, 4, 6, 12, 1877, 3754, 5631, 7508, 11262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22512 and 22524. The biggest common factor number is the GCF number.
So the greatest common factor 22512 and 22524 is 12.

Also check out the Least Common Multiple of 22512 and 22524