What is the Greatest Common Factor of 79131 and 79149?

Greatest common factor (GCF) of 79131 and 79149 is 3.

GCF(79131,79149) = 3

We will now calculate the prime factors of 79131 and 79149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79131 and 79149.

How to find the GCF of 79131 and 79149?

We will first find the prime factorization of 79131 and 79149. After we will calculate the factors of 79131 and 79149 and find the biggest common factor number .

Step-1: Prime Factorization of 79131

Prime factors of 79131 are 3, 13, 2029. Prime factorization of 79131 in exponential form is:

79131 = 3¹ × 13¹ × 2029¹

Step-2: Prime Factorization of 79149

Prime factors of 79149 are 3, 7, 3769. Prime factorization of 79149 in exponential form is:

79149 = 3¹ × 7¹ × 3769¹

Step-3: Factors of 79131

List of positive integer factors of 79131 that divides 79131 without a remainder.

1, 3, 13, 39, 2029, 6087, 26377

Step-4: Factors of 79149

List of positive integer factors of 79149 that divides 79131 without a remainder.

1, 3, 7, 21, 3769, 11307, 26383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79131 and 79149. The biggest common factor number is the GCF number.
So the greatest common factor 79131 and 79149 is 3.

Also check out the Least Common Multiple of 79131 and 79149