What is the Greatest Common Factor of 76050 and 76060?

Greatest common factor (GCF) of 76050 and 76060 is 10.

GCF(76050,76060) = 10

We will now calculate the prime factors of 76050 and 76060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76050 and 76060.

How to find the GCF of 76050 and 76060?

We will first find the prime factorization of 76050 and 76060. After we will calculate the factors of 76050 and 76060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76060

Prime factors of 76060 are 2, 5, 3803. Prime factorization of 76060 in exponential form is:

76060 = 2² × 5¹ × 3803¹

Step-3: Factors of 76050

List of positive integer factors of 76050 that divides 76050 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

Step-4: Factors of 76060

List of positive integer factors of 76060 that divides 76050 without a remainder.

1, 2, 4, 5, 10, 20, 3803, 7606, 15212, 19015, 38030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76050 and 76060. The biggest common factor number is the GCF number.
So the greatest common factor 76050 and 76060 is 10.

Also check out the Least Common Multiple of 76050 and 76060