What is the Greatest Common Factor of 76137 and 76149?

Greatest common factor (GCF) of 76137 and 76149 is 3.

GCF(76137,76149) = 3

We will now calculate the prime factors of 76137 and 76149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76137 and 76149.

How to find the GCF of 76137 and 76149?

We will first find the prime factorization of 76137 and 76149. After we will calculate the factors of 76137 and 76149 and find the biggest common factor number .

Step-1: Prime Factorization of 76137

Prime factors of 76137 are 3, 41, 619. Prime factorization of 76137 in exponential form is:

76137 = 3¹ × 41¹ × 619¹

Step-2: Prime Factorization of 76149

Prime factors of 76149 are 3, 8461. Prime factorization of 76149 in exponential form is:

76149 = 3² × 8461¹

Step-3: Factors of 76137

List of positive integer factors of 76137 that divides 76137 without a remainder.

1, 3, 41, 123, 619, 1857, 25379

Step-4: Factors of 76149

List of positive integer factors of 76149 that divides 76137 without a remainder.

1, 3, 9, 8461, 25383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76137 and 76149. The biggest common factor number is the GCF number.
So the greatest common factor 76137 and 76149 is 3.

Also check out the Least Common Multiple of 76137 and 76149