What is the Greatest Common Factor of 7516 and 7524?

Greatest common factor (GCF) of 7516 and 7524 is 4.

GCF(7516,7524) = 4

We will now calculate the prime factors of 7516 and 7524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7516 and 7524.

How to find the GCF of 7516 and 7524?

We will first find the prime factorization of 7516 and 7524. After we will calculate the factors of 7516 and 7524 and find the biggest common factor number .

Step-1: Prime Factorization of 7516

Prime factors of 7516 are 2, 1879. Prime factorization of 7516 in exponential form is:

7516 = 2² × 1879¹

Step-2: 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-3: Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1, 2, 4, 1879, 3758

Step-4: Factors of 7524

List of positive integer factors of 7524 that divides 7516 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7516 and 7524. The biggest common factor number is the GCF number.
So the greatest common factor 7516 and 7524 is 4.

Also check out the Least Common Multiple of 7516 and 7524