What is the Greatest Common Factor of 76131 and 76144?

Greatest common factor (GCF) of 76131 and 76144 is 1.

GCF(76131,76144) = 1

We will now calculate the prime factors of 76131 and 76144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76131 and 76144.

How to find the GCF of 76131 and 76144?

We will first find the prime factorization of 76131 and 76144. After we will calculate the factors of 76131 and 76144 and find the biggest common factor number .

Step-1: Prime Factorization of 76131

Prime factors of 76131 are 3, 11, 769. Prime factorization of 76131 in exponential form is:

76131 = 3² × 11¹ × 769¹

Step-2: Prime Factorization of 76144

Prime factors of 76144 are 2, 4759. Prime factorization of 76144 in exponential form is:

76144 = 2⁴ × 4759¹

Step-3: Factors of 76131

List of positive integer factors of 76131 that divides 76131 without a remainder.

1, 3, 9, 11, 33, 99, 769, 2307, 6921, 8459, 25377

Step-4: Factors of 76144

List of positive integer factors of 76144 that divides 76131 without a remainder.

1, 2, 4, 8, 16, 4759, 9518, 19036, 38072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76131 and 76144. The biggest common factor number is the GCF number.
So the greatest common factor 76131 and 76144 is 1.

Also check out the Least Common Multiple of 76131 and 76144