What is the Greatest Common Factor of 76309 and 76324?

Greatest common factor (GCF) of 76309 and 76324 is 1.

GCF(76309,76324) = 1

We will now calculate the prime factors of 76309 and 76324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76309 and 76324.

How to find the GCF of 76309 and 76324?

We will first find the prime factorization of 76309 and 76324. After we will calculate the factors of 76309 and 76324 and find the biggest common factor number .

Step-1: Prime Factorization of 76309

Prime factors of 76309 are 137, 557. Prime factorization of 76309 in exponential form is:

76309 = 137¹ × 557¹

Step-2: Prime Factorization of 76324

Prime factors of 76324 are 2, 19081. Prime factorization of 76324 in exponential form is:

76324 = 2² × 19081¹

Step-3: Factors of 76309

List of positive integer factors of 76309 that divides 76309 without a remainder.

1, 137, 557

Step-4: Factors of 76324

List of positive integer factors of 76324 that divides 76309 without a remainder.

1, 2, 4, 19081, 38162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76309 and 76324. The biggest common factor number is the GCF number.
So the greatest common factor 76309 and 76324 is 1.

Also check out the Least Common Multiple of 76309 and 76324