What is the Greatest Common Factor of 76925 and 76942?

Greatest common factor (GCF) of 76925 and 76942 is 17.

GCF(76925,76942) = 17

We will now calculate the prime factors of 76925 and 76942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76925 and 76942.

How to find the GCF of 76925 and 76942?

We will first find the prime factorization of 76925 and 76942. After we will calculate the factors of 76925 and 76942 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 76942

Prime factors of 76942 are 2, 17, 31, 73. Prime factorization of 76942 in exponential form is:

76942 = 2¹ × 17¹ × 31¹ × 73¹

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 76942

List of positive integer factors of 76942 that divides 76925 without a remainder.

1, 2, 17, 31, 34, 62, 73, 146, 527, 1054, 1241, 2263, 2482, 4526, 38471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76925 and 76942. The biggest common factor number is the GCF number.
So the greatest common factor 76925 and 76942 is 17.

Also check out the Least Common Multiple of 76925 and 76942