What is the Greatest Common Factor of 15800 and 15812?

Greatest common factor (GCF) of 15800 and 15812 is 4.

GCF(15800,15812) = 4

We will now calculate the prime factors of 15800 and 15812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15800 and 15812.

How to find the GCF of 15800 and 15812?

We will first find the prime factorization of 15800 and 15812. After we will calculate the factors of 15800 and 15812 and find the biggest common factor number .

Step-1: Prime Factorization of 15800

Prime factors of 15800 are 2, 5, 79. Prime factorization of 15800 in exponential form is:

15800 = 2³ × 5² × 79¹

Step-2: Prime Factorization of 15812

Prime factors of 15812 are 2, 59, 67. Prime factorization of 15812 in exponential form is:

15812 = 2² × 59¹ × 67¹

Step-3: Factors of 15800

List of positive integer factors of 15800 that divides 15800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 158, 200, 316, 395, 632, 790, 1580, 1975, 3160, 3950, 7900

Step-4: Factors of 15812

List of positive integer factors of 15812 that divides 15800 without a remainder.

1, 2, 4, 59, 67, 118, 134, 236, 268, 3953, 7906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15800 and 15812. The biggest common factor number is the GCF number.
So the greatest common factor 15800 and 15812 is 4.

Also check out the Least Common Multiple of 15800 and 15812