What is the Greatest Common Factor of 76959 and 76974?

Greatest common factor (GCF) of 76959 and 76974 is 3.

GCF(76959,76974) = 3

We will now calculate the prime factors of 76959 and 76974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76959 and 76974.

How to find the GCF of 76959 and 76974?

We will first find the prime factorization of 76959 and 76974. After we will calculate the factors of 76959 and 76974 and find the biggest common factor number .

Step-1: Prime Factorization of 76959

Prime factors of 76959 are 3, 17, 503. Prime factorization of 76959 in exponential form is:

76959 = 3² × 17¹ × 503¹

Step-2: Prime Factorization of 76974

Prime factors of 76974 are 2, 3, 12829. Prime factorization of 76974 in exponential form is:

76974 = 2¹ × 3¹ × 12829¹

Step-3: Factors of 76959

List of positive integer factors of 76959 that divides 76959 without a remainder.

1, 3, 9, 17, 51, 153, 503, 1509, 4527, 8551, 25653

Step-4: Factors of 76974

List of positive integer factors of 76974 that divides 76959 without a remainder.

1, 2, 3, 6, 12829, 25658, 38487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76959 and 76974. The biggest common factor number is the GCF number.
So the greatest common factor 76959 and 76974 is 3.

Also check out the Least Common Multiple of 76959 and 76974