What is the Greatest Common Factor of 76080 and 76100?

Greatest common factor (GCF) of 76080 and 76100 is 20.

GCF(76080,76100) = 20

We will now calculate the prime factors of 76080 and 76100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76080 and 76100.

How to find the GCF of 76080 and 76100?

We will first find the prime factorization of 76080 and 76100. After we will calculate the factors of 76080 and 76100 and find the biggest common factor number .

Step-1: Prime Factorization of 76080

Prime factors of 76080 are 2, 3, 5, 317. Prime factorization of 76080 in exponential form is:

76080 = 2⁴ × 3¹ × 5¹ × 317¹

Step-2: Prime Factorization of 76100

Prime factors of 76100 are 2, 5, 761. Prime factorization of 76100 in exponential form is:

76100 = 2² × 5² × 761¹

Step-3: Factors of 76080

List of positive integer factors of 76080 that divides 76080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 317, 634, 951, 1268, 1585, 1902, 2536, 3170, 3804, 4755, 5072, 6340, 7608, 9510, 12680, 15216, 19020, 25360, 38040

Step-4: Factors of 76100

List of positive integer factors of 76100 that divides 76080 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 761, 1522, 3044, 3805, 7610, 15220, 19025, 38050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76080 and 76100. The biggest common factor number is the GCF number.
So the greatest common factor 76080 and 76100 is 20.

Also check out the Least Common Multiple of 76080 and 76100