What is the Greatest Common Factor of 76038 and 76050?

Greatest common factor (GCF) of 76038 and 76050 is 6.

GCF(76038,76050) = 6

We will now calculate the prime factors of 76038 and 76050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76038 and 76050.

How to find the GCF of 76038 and 76050?

We will first find the prime factorization of 76038 and 76050. After we will calculate the factors of 76038 and 76050 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76050

Prime factors of 76050 are 2, 3, 5, 13. Prime factorization of 76050 in exponential form is:

76050 = 2¹ × 3² × 5² × 13²

Step-3: Factors of 76038

List of positive integer factors of 76038 that divides 76038 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

Step-4: Factors of 76050

List of positive integer factors of 76050 that divides 76038 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 169, 195, 225, 234, 325, 338, 390, 450, 507, 585, 650, 845, 975, 1014, 1170, 1521, 1690, 1950, 2535, 2925, 3042, 4225, 5070, 5850, 7605, 8450, 12675, 15210, 25350, 38025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76038 and 76050. The biggest common factor number is the GCF number.
So the greatest common factor 76038 and 76050 is 6.

Also check out the Least Common Multiple of 76038 and 76050