What is the Greatest Common Factor of 76941 and 76961?

Greatest common factor (GCF) of 76941 and 76961 is 1.

GCF(76941,76961) = 1

We will now calculate the prime factors of 76941 and 76961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76941 and 76961.

How to find the GCF of 76941 and 76961?

We will first find the prime factorization of 76941 and 76961. After we will calculate the factors of 76941 and 76961 and find the biggest common factor number .

Step-1: Prime Factorization of 76941

Prime factors of 76941 are 3, 83, 103. Prime factorization of 76941 in exponential form is:

76941 = 3² × 83¹ × 103¹

Step-2: Prime Factorization of 76961

Prime factors of 76961 are 76961. Prime factorization of 76961 in exponential form is:

76961 = 76961¹

Step-3: Factors of 76941

List of positive integer factors of 76941 that divides 76941 without a remainder.

1, 3, 9, 83, 103, 249, 309, 747, 927, 8549, 25647

Step-4: Factors of 76961

List of positive integer factors of 76961 that divides 76941 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76941 and 76961. The biggest common factor number is the GCF number.
So the greatest common factor 76941 and 76961 is 1.

Also check out the Least Common Multiple of 76941 and 76961