What is the Greatest Common Factor of 10524 and 10528?

Greatest common factor (GCF) of 10524 and 10528 is 4.

GCF(10524,10528) = 4

We will now calculate the prime factors of 10524 and 10528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10524 and 10528.

How to find the GCF of 10524 and 10528?

We will first find the prime factorization of 10524 and 10528. After we will calculate the factors of 10524 and 10528 and find the biggest common factor number .

Step-1: Prime Factorization of 10524

Prime factors of 10524 are 2, 3, 877. Prime factorization of 10524 in exponential form is:

10524 = 2² × 3¹ × 877¹

Step-2: Prime Factorization of 10528

Prime factors of 10528 are 2, 7, 47. Prime factorization of 10528 in exponential form is:

10528 = 2⁵ × 7¹ × 47¹

Step-3: Factors of 10524

List of positive integer factors of 10524 that divides 10524 without a remainder.

1, 2, 3, 4, 6, 12, 877, 1754, 2631, 3508, 5262

Step-4: Factors of 10528

List of positive integer factors of 10528 that divides 10524 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 94, 112, 188, 224, 329, 376, 658, 752, 1316, 1504, 2632, 5264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10524 and 10528. The biggest common factor number is the GCF number.
So the greatest common factor 10524 and 10528 is 4.

Also check out the Least Common Multiple of 10524 and 10528