What is the Greatest Common Factor of 58624 and 58640?

Greatest common factor (GCF) of 58624 and 58640 is 16.

GCF(58624,58640) = 16

We will now calculate the prime factors of 58624 and 58640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58624 and 58640.

How to find the GCF of 58624 and 58640?

We will first find the prime factorization of 58624 and 58640. After we will calculate the factors of 58624 and 58640 and find the biggest common factor number .

Step-1: Prime Factorization of 58624

Prime factors of 58624 are 2, 229. Prime factorization of 58624 in exponential form is:

58624 = 2⁸ × 229¹

Step-2: Prime Factorization of 58640

Prime factors of 58640 are 2, 5, 733. Prime factorization of 58640 in exponential form is:

58640 = 2⁴ × 5¹ × 733¹

Step-3: Factors of 58624

List of positive integer factors of 58624 that divides 58624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 229, 256, 458, 916, 1832, 3664, 7328, 14656, 29312

Step-4: Factors of 58640

List of positive integer factors of 58640 that divides 58624 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 733, 1466, 2932, 3665, 5864, 7330, 11728, 14660, 29320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58624 and 58640. The biggest common factor number is the GCF number.
So the greatest common factor 58624 and 58640 is 16.

Also check out the Least Common Multiple of 58624 and 58640