What is the Greatest Common Factor of 76301 and 76307?

Greatest common factor (GCF) of 76301 and 76307 is 1.

GCF(76301,76307) = 1

We will now calculate the prime factors of 76301 and 76307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76301 and 76307.

How to find the GCF of 76301 and 76307?

We will first find the prime factorization of 76301 and 76307. After we will calculate the factors of 76301 and 76307 and find the biggest common factor number .

Step-1: Prime Factorization of 76301

Prime factors of 76301 are 41, 1861. Prime factorization of 76301 in exponential form is:

76301 = 41¹ × 1861¹

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 76301

List of positive integer factors of 76301 that divides 76301 without a remainder.

1, 41, 1861

Step-4: Factors of 76307

List of positive integer factors of 76307 that divides 76301 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76301 and 76307. The biggest common factor number is the GCF number.
So the greatest common factor 76301 and 76307 is 1.

Also check out the Least Common Multiple of 76301 and 76307