What is the Greatest Common Factor of 76422 and 76442?

Greatest common factor (GCF) of 76422 and 76442 is 2.

GCF(76422,76442) = 2

We will now calculate the prime factors of 76422 and 76442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76422 and 76442.

How to find the GCF of 76422 and 76442?

We will first find the prime factorization of 76422 and 76442. After we will calculate the factors of 76422 and 76442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76442

Prime factors of 76442 are 2, 37, 1033. Prime factorization of 76442 in exponential form is:

76442 = 2¹ × 37¹ × 1033¹

Step-3: Factors of 76422

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

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

Step-4: Factors of 76442

List of positive integer factors of 76442 that divides 76422 without a remainder.

1, 2, 37, 74, 1033, 2066, 38221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76422 and 76442. The biggest common factor number is the GCF number.
So the greatest common factor 76422 and 76442 is 2.

Also check out the Least Common Multiple of 76422 and 76442