What is the Greatest Common Factor of 76028 and 76038?

Greatest common factor (GCF) of 76028 and 76038 is 2.

GCF(76028,76038) = 2

We will now calculate the prime factors of 76028 and 76038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76028 and 76038.

How to find the GCF of 76028 and 76038?

We will first find the prime factorization of 76028 and 76038. After we will calculate the factors of 76028 and 76038 and find the biggest common factor number .

Step-1: Prime Factorization of 76028

Prime factors of 76028 are 2, 83, 229. Prime factorization of 76028 in exponential form is:

76028 = 2² × 83¹ × 229¹

Step-2: Prime Factorization of 76038

Prime factors of 76038 are 2, 3, 19, 23, 29. Prime factorization of 76038 in exponential form is:

76038 = 2¹ × 3¹ × 19¹ × 23¹ × 29¹

Step-3: Factors of 76028

List of positive integer factors of 76028 that divides 76028 without a remainder.

1, 2, 4, 83, 166, 229, 332, 458, 916, 19007, 38014

Step-4: Factors of 76038

List of positive integer factors of 76038 that divides 76028 without a remainder.

1, 2, 3, 6, 19, 23, 29, 38, 46, 57, 58, 69, 87, 114, 138, 174, 437, 551, 667, 874, 1102, 1311, 1334, 1653, 2001, 2622, 3306, 4002, 12673, 25346, 38019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76028 and 76038. The biggest common factor number is the GCF number.
So the greatest common factor 76028 and 76038 is 2.

Also check out the Least Common Multiple of 76028 and 76038