What is the Greatest Common Factor of 76410 and 76422?

Greatest common factor (GCF) of 76410 and 76422 is 6.

GCF(76410,76422) = 6

We will now calculate the prime factors of 76410 and 76422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76410 and 76422.

How to find the GCF of 76410 and 76422?

We will first find the prime factorization of 76410 and 76422. After we will calculate the factors of 76410 and 76422 and find the biggest common factor number .

Step-1: Prime Factorization of 76410

Prime factors of 76410 are 2, 3, 5, 283. Prime factorization of 76410 in exponential form is:

76410 = 2¹ × 3³ × 5¹ × 283¹

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 76410

List of positive integer factors of 76410 that divides 76410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 283, 566, 849, 1415, 1698, 2547, 2830, 4245, 5094, 7641, 8490, 12735, 15282, 25470, 38205

Step-4: Factors of 76422

List of positive integer factors of 76422 that divides 76410 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 76410 and 76422. The biggest common factor number is the GCF number.
So the greatest common factor 76410 and 76422 is 6.

Also check out the Least Common Multiple of 76410 and 76422