What is the Greatest Common Factor of 22512 and 22530?

Greatest common factor (GCF) of 22512 and 22530 is 6.

GCF(22512,22530) = 6

We will now calculate the prime factors of 22512 and 22530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22512 and 22530.

How to find the GCF of 22512 and 22530?

We will first find the prime factorization of 22512 and 22530. After we will calculate the factors of 22512 and 22530 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 22530

Prime factors of 22530 are 2, 3, 5, 751. Prime factorization of 22530 in exponential form is:

22530 = 2¹ × 3¹ × 5¹ × 751¹

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 22530

List of positive integer factors of 22530 that divides 22512 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 751, 1502, 2253, 3755, 4506, 7510, 11265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22512 and 22530. The biggest common factor number is the GCF number.
So the greatest common factor 22512 and 22530 is 6.

Also check out the Least Common Multiple of 22512 and 22530