What is the Greatest Common Factor of 76925 and 76943?

Greatest common factor (GCF) of 76925 and 76943 is 1.

GCF(76925,76943) = 1

We will now calculate the prime factors of 76925 and 76943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76925 and 76943.

How to find the GCF of 76925 and 76943?

We will first find the prime factorization of 76925 and 76943. After we will calculate the factors of 76925 and 76943 and find the biggest common factor number .

Step-1: Prime Factorization of 76925

Prime factors of 76925 are 5, 17, 181. Prime factorization of 76925 in exponential form is:

76925 = 5² × 17¹ × 181¹

Step-2: Prime Factorization of 76943

Prime factors of 76943 are 76943. Prime factorization of 76943 in exponential form is:

76943 = 76943¹

Step-3: Factors of 76925

List of positive integer factors of 76925 that divides 76925 without a remainder.

1, 5, 17, 25, 85, 181, 425, 905, 3077, 4525, 15385

Step-4: Factors of 76943

List of positive integer factors of 76943 that divides 76925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76925 and 76943. The biggest common factor number is the GCF number.
So the greatest common factor 76925 and 76943 is 1.

Also check out the Least Common Multiple of 76925 and 76943