What is the Greatest Common Factor of 751 and 767?

Greatest common factor (GCF) of 751 and 767 is 1.

GCF(751,767) = 1

We will now calculate the prime factors of 751 and 767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 751 and 767.

How to find the GCF of 751 and 767?

We will first find the prime factorization of 751 and 767. After we will calculate the factors of 751 and 767 and find the biggest common factor number .

Step-1: Prime Factorization of 751

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 751¹

Step-2: Prime Factorization of 767

Prime factors of 767 are 13, 59. Prime factorization of 767 in exponential form is:

767 = 13¹ × 59¹

Step-3: Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

Step-4: Factors of 767

List of positive integer factors of 767 that divides 751 without a remainder.

1, 13, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 751 and 767. The biggest common factor number is the GCF number.
So the greatest common factor 751 and 767 is 1.

Also check out the Least Common Multiple of 751 and 767