What is the Greatest Common Factor of 76407 and 76422?

Greatest common factor (GCF) of 76407 and 76422 is 3.

GCF(76407,76422) = 3

We will now calculate the prime factors of 76407 and 76422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76407 and 76422.

How to find the GCF of 76407 and 76422?

We will first find the prime factorization of 76407 and 76422. After we will calculate the factors of 76407 and 76422 and find the biggest common factor number .

Step-1: Prime Factorization of 76407

Prime factors of 76407 are 3, 25469. Prime factorization of 76407 in exponential form is:

76407 = 3¹ × 25469¹

Step-2: Prime Factorization of 76422

Prime factors of 76422 are 2, 3, 47, 271. Prime factorization of 76422 in exponential form is:

76422 = 2¹ × 3¹ × 47¹ × 271¹

Step-3: Factors of 76407

List of positive integer factors of 76407 that divides 76407 without a remainder.

1, 3, 25469

Step-4: Factors of 76422

List of positive integer factors of 76422 that divides 76407 without a remainder.

1, 2, 3, 6, 47, 94, 141, 271, 282, 542, 813, 1626, 12737, 25474, 38211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76407 and 76422. The biggest common factor number is the GCF number.
So the greatest common factor 76407 and 76422 is 3.

Also check out the Least Common Multiple of 76407 and 76422