What is the Greatest Common Factor of 76050 and 76070?

Greatest common factor (GCF) of 76050 and 76070 is 10.

GCF(76050,76070) = 10

We will now calculate the prime factors of 76050 and 76070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76050 and 76070.

How to find the GCF of 76050 and 76070?

We will first find the prime factorization of 76050 and 76070. After we will calculate the factors of 76050 and 76070 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 76070

Prime factors of 76070 are 2, 5, 7607. Prime factorization of 76070 in exponential form is:

76070 = 2¹ × 5¹ × 7607¹

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 76070

List of positive integer factors of 76070 that divides 76050 without a remainder.

1, 2, 5, 10, 7607, 15214, 38035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76050 and 76070. The biggest common factor number is the GCF number.
So the greatest common factor 76050 and 76070 is 10.

Also check out the Least Common Multiple of 76050 and 76070