What is the Greatest Common Factor of 76080 and 76087?

Greatest common factor (GCF) of 76080 and 76087 is 1.

GCF(76080,76087) = 1

We will now calculate the prime factors of 76080 and 76087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76080 and 76087.

How to find the GCF of 76080 and 76087?

We will first find the prime factorization of 76080 and 76087. After we will calculate the factors of 76080 and 76087 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 76087

Prime factors of 76087 are 11, 6917. Prime factorization of 76087 in exponential form is:

76087 = 11¹ × 6917¹

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 76087

List of positive integer factors of 76087 that divides 76080 without a remainder.

1, 11, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76080 and 76087. The biggest common factor number is the GCF number.
So the greatest common factor 76080 and 76087 is 1.

Also check out the Least Common Multiple of 76080 and 76087