What is the Greatest Common Factor of 15799 and 15813?

Greatest common factor (GCF) of 15799 and 15813 is 7.

GCF(15799,15813) = 7

We will now calculate the prime factors of 15799 and 15813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15799 and 15813.

How to find the GCF of 15799 and 15813?

We will first find the prime factorization of 15799 and 15813. After we will calculate the factors of 15799 and 15813 and find the biggest common factor number .

Step-1: Prime Factorization of 15799

Prime factors of 15799 are 7, 37, 61. Prime factorization of 15799 in exponential form is:

15799 = 7¹ × 37¹ × 61¹

Step-2: Prime Factorization of 15813

Prime factors of 15813 are 3, 7, 251. Prime factorization of 15813 in exponential form is:

15813 = 3² × 7¹ × 251¹

Step-3: Factors of 15799

List of positive integer factors of 15799 that divides 15799 without a remainder.

1, 7, 37, 61, 259, 427, 2257

Step-4: Factors of 15813

List of positive integer factors of 15813 that divides 15799 without a remainder.

1, 3, 7, 9, 21, 63, 251, 753, 1757, 2259, 5271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15799 and 15813. The biggest common factor number is the GCF number.
So the greatest common factor 15799 and 15813 is 7.

Also check out the Least Common Multiple of 15799 and 15813