What is the Greatest Common Factor of 76422 and 76437?

Greatest common factor (GCF) of 76422 and 76437 is 3.

GCF(76422,76437) = 3

We will now calculate the prime factors of 76422 and 76437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76422 and 76437.

How to find the GCF of 76422 and 76437?

We will first find the prime factorization of 76422 and 76437. After we will calculate the factors of 76422 and 76437 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 76437

Prime factors of 76437 are 3, 19, 149. Prime factorization of 76437 in exponential form is:

76437 = 3³ × 19¹ × 149¹

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 76437

List of positive integer factors of 76437 that divides 76422 without a remainder.

1, 3, 9, 19, 27, 57, 149, 171, 447, 513, 1341, 2831, 4023, 8493, 25479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76422 and 76437. The biggest common factor number is the GCF number.
So the greatest common factor 76422 and 76437 is 3.

Also check out the Least Common Multiple of 76422 and 76437