What is the Greatest Common Factor of 76074 and 76080?

Greatest common factor (GCF) of 76074 and 76080 is 6.

GCF(76074,76080) = 6

We will now calculate the prime factors of 76074 and 76080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76074 and 76080.

How to find the GCF of 76074 and 76080?

We will first find the prime factorization of 76074 and 76080. After we will calculate the factors of 76074 and 76080 and find the biggest common factor number .

Step-1: Prime Factorization of 76074

Prime factors of 76074 are 2, 3, 31, 409. Prime factorization of 76074 in exponential form is:

76074 = 2¹ × 3¹ × 31¹ × 409¹

Step-2: 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-3: Factors of 76074

List of positive integer factors of 76074 that divides 76074 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 409, 818, 1227, 2454, 12679, 25358, 38037

Step-4: Factors of 76080

List of positive integer factors of 76080 that divides 76074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76074 and 76080. The biggest common factor number is the GCF number.
So the greatest common factor 76074 and 76080 is 6.

Also check out the Least Common Multiple of 76074 and 76080