What is the Greatest Common Factor of 24612 and 24627?

Greatest common factor (GCF) of 24612 and 24627 is 3.

GCF(24612,24627) = 3

We will now calculate the prime factors of 24612 and 24627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24612 and 24627.

How to find the GCF of 24612 and 24627?

We will first find the prime factorization of 24612 and 24627. After we will calculate the factors of 24612 and 24627 and find the biggest common factor number .

Step-1: Prime Factorization of 24612

Prime factors of 24612 are 2, 3, 7, 293. Prime factorization of 24612 in exponential form is:

24612 = 2² × 3¹ × 7¹ × 293¹

Step-2: Prime Factorization of 24627

Prime factors of 24627 are 3, 8209. Prime factorization of 24627 in exponential form is:

24627 = 3¹ × 8209¹

Step-3: Factors of 24612

List of positive integer factors of 24612 that divides 24612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 293, 586, 879, 1172, 1758, 2051, 3516, 4102, 6153, 8204, 12306

Step-4: Factors of 24627

List of positive integer factors of 24627 that divides 24612 without a remainder.

1, 3, 8209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24612 and 24627. The biggest common factor number is the GCF number.
So the greatest common factor 24612 and 24627 is 3.

Also check out the Least Common Multiple of 24612 and 24627