What is the Greatest Common Factor of 7524 and 7531?

Greatest common factor (GCF) of 7524 and 7531 is 1.

GCF(7524,7531) = 1

We will now calculate the prime factors of 7524 and 7531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7524 and 7531.

How to find the GCF of 7524 and 7531?

We will first find the prime factorization of 7524 and 7531. After we will calculate the factors of 7524 and 7531 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 7531

Prime factors of 7531 are 17, 443. Prime factorization of 7531 in exponential form is:

7531 = 17¹ × 443¹

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 7531

List of positive integer factors of 7531 that divides 7524 without a remainder.

1, 17, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7524 and 7531. The biggest common factor number is the GCF number.
So the greatest common factor 7524 and 7531 is 1.

Also check out the Least Common Multiple of 7524 and 7531