What is the Greatest Common Factor of 76591 and 76609?

Greatest common factor (GCF) of 76591 and 76609 is 1.

GCF(76591,76609) = 1

We will now calculate the prime factors of 76591 and 76609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76591 and 76609.

How to find the GCF of 76591 and 76609?

We will first find the prime factorization of 76591 and 76609. After we will calculate the factors of 76591 and 76609 and find the biggest common factor number .

Step-1: Prime Factorization of 76591

Prime factors of 76591 are 191, 401. Prime factorization of 76591 in exponential form is:

76591 = 191¹ × 401¹

Step-2: Prime Factorization of 76609

Prime factors of 76609 are 13, 71, 83. Prime factorization of 76609 in exponential form is:

76609 = 13¹ × 71¹ × 83¹

Step-3: Factors of 76591

List of positive integer factors of 76591 that divides 76591 without a remainder.

1, 191, 401

Step-4: Factors of 76609

List of positive integer factors of 76609 that divides 76591 without a remainder.

1, 13, 71, 83, 923, 1079, 5893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76591 and 76609. The biggest common factor number is the GCF number.
So the greatest common factor 76591 and 76609 is 1.

Also check out the Least Common Multiple of 76591 and 76609