What is the Greatest Common Factor of 76291 and 76307?

Greatest common factor (GCF) of 76291 and 76307 is 1.

GCF(76291,76307) = 1

We will now calculate the prime factors of 76291 and 76307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76291 and 76307.

How to find the GCF of 76291 and 76307?

We will first find the prime factorization of 76291 and 76307. After we will calculate the factors of 76291 and 76307 and find the biggest common factor number .

Step-1: Prime Factorization of 76291

Prime factors of 76291 are 23, 31, 107. Prime factorization of 76291 in exponential form is:

76291 = 23¹ × 31¹ × 107¹

Step-2: Prime Factorization of 76307

Prime factors of 76307 are 7, 11, 991. Prime factorization of 76307 in exponential form is:

76307 = 7¹ × 11¹ × 991¹

Step-3: Factors of 76291

List of positive integer factors of 76291 that divides 76291 without a remainder.

1, 23, 31, 107, 713, 2461, 3317

Step-4: Factors of 76307

List of positive integer factors of 76307 that divides 76291 without a remainder.

1, 7, 11, 77, 991, 6937, 10901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76291 and 76307. The biggest common factor number is the GCF number.
So the greatest common factor 76291 and 76307 is 1.

Also check out the Least Common Multiple of 76291 and 76307