What is the Greatest Common Factor of 10624 and 10640?

Greatest common factor (GCF) of 10624 and 10640 is 16.

GCF(10624,10640) = 16

We will now calculate the prime factors of 10624 and 10640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10624 and 10640.

How to find the GCF of 10624 and 10640?

We will first find the prime factorization of 10624 and 10640. After we will calculate the factors of 10624 and 10640 and find the biggest common factor number .

Step-1: Prime Factorization of 10624

Prime factors of 10624 are 2, 83. Prime factorization of 10624 in exponential form is:

10624 = 2⁷ × 83¹

Step-2: Prime Factorization of 10640

Prime factors of 10640 are 2, 5, 7, 19. Prime factorization of 10640 in exponential form is:

10640 = 2⁴ × 5¹ × 7¹ × 19¹

Step-3: Factors of 10624

List of positive integer factors of 10624 that divides 10624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 332, 664, 1328, 2656, 5312

Step-4: Factors of 10640

List of positive integer factors of 10640 that divides 10624 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 35, 38, 40, 56, 70, 76, 80, 95, 112, 133, 140, 152, 190, 266, 280, 304, 380, 532, 560, 665, 760, 1064, 1330, 1520, 2128, 2660, 5320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10624 and 10640. The biggest common factor number is the GCF number.
So the greatest common factor 10624 and 10640 is 16.

Also check out the Least Common Multiple of 10624 and 10640