What is the Greatest Common Factor of 1512 and 1524?

Greatest common factor (GCF) of 1512 and 1524 is 12.

GCF(1512,1524) = 12

We will now calculate the prime factors of 1512 and 1524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1512 and 1524.

How to find the GCF of 1512 and 1524?

We will first find the prime factorization of 1512 and 1524. After we will calculate the factors of 1512 and 1524 and find the biggest common factor number .

Step-1: Prime Factorization of 1512

Prime factors of 1512 are 2, 3, 7. Prime factorization of 1512 in exponential form is:

1512 = 2³ × 3³ × 7¹

Step-2: Prime Factorization of 1524

Prime factors of 1524 are 2, 3, 127. Prime factorization of 1524 in exponential form is:

1524 = 2² × 3¹ × 127¹

Step-3: Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756

Step-4: Factors of 1524

List of positive integer factors of 1524 that divides 1512 without a remainder.

1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1512 and 1524. The biggest common factor number is the GCF number.
So the greatest common factor 1512 and 1524 is 12.

Also check out the Least Common Multiple of 1512 and 1524