What is the Greatest Common Factor of 7524 and 7536?

Greatest common factor (GCF) of 7524 and 7536 is 12.

GCF(7524,7536) = 12

We will now calculate the prime factors of 7524 and 7536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7524 and 7536.

How to find the GCF of 7524 and 7536?

We will first find the prime factorization of 7524 and 7536. After we will calculate the factors of 7524 and 7536 and find the biggest common factor number .

Step-1: Prime Factorization of 7524

Prime factors of 7524 are 2, 3, 11, 19. Prime factorization of 7524 in exponential form is:

7524 = 2² × 3² × 11¹ × 19¹

Step-2: Prime Factorization of 7536

Prime factors of 7536 are 2, 3, 157. Prime factorization of 7536 in exponential form is:

7536 = 2⁴ × 3¹ × 157¹

Step-3: Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762

Step-4: Factors of 7536

List of positive integer factors of 7536 that divides 7524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7524 and 7536. The biggest common factor number is the GCF number.
So the greatest common factor 7524 and 7536 is 12.

Also check out the Least Common Multiple of 7524 and 7536