What is the Greatest Common Factor of 12552 and 12567?

Greatest common factor (GCF) of 12552 and 12567 is 3.

GCF(12552,12567) = 3

We will now calculate the prime factors of 12552 and 12567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12552 and 12567.

How to find the GCF of 12552 and 12567?

We will first find the prime factorization of 12552 and 12567. After we will calculate the factors of 12552 and 12567 and find the biggest common factor number .

Step-1: Prime Factorization of 12552

Prime factors of 12552 are 2, 3, 523. Prime factorization of 12552 in exponential form is:

12552 = 2³ × 3¹ × 523¹

Step-2: Prime Factorization of 12567

Prime factors of 12567 are 3, 59, 71. Prime factorization of 12567 in exponential form is:

12567 = 3¹ × 59¹ × 71¹

Step-3: Factors of 12552

List of positive integer factors of 12552 that divides 12552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 523, 1046, 1569, 2092, 3138, 4184, 6276

Step-4: Factors of 12567

List of positive integer factors of 12567 that divides 12552 without a remainder.

1, 3, 59, 71, 177, 213, 4189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12552 and 12567. The biggest common factor number is the GCF number.
So the greatest common factor 12552 and 12567 is 3.

Also check out the Least Common Multiple of 12552 and 12567