What is the Greatest Common Factor of 76870 and 76880?

Greatest common factor (GCF) of 76870 and 76880 is 10.

GCF(76870,76880) = 10

We will now calculate the prime factors of 76870 and 76880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76870 and 76880.

How to find the GCF of 76870 and 76880?

We will first find the prime factorization of 76870 and 76880. After we will calculate the factors of 76870 and 76880 and find the biggest common factor number .

Step-1: Prime Factorization of 76870

Prime factors of 76870 are 2, 5, 7687. Prime factorization of 76870 in exponential form is:

76870 = 2¹ × 5¹ × 7687¹

Step-2: Prime Factorization of 76880

Prime factors of 76880 are 2, 5, 31. Prime factorization of 76880 in exponential form is:

76880 = 2⁴ × 5¹ × 31²

Step-3: Factors of 76870

List of positive integer factors of 76870 that divides 76870 without a remainder.

1, 2, 5, 10, 7687, 15374, 38435

Step-4: Factors of 76880

List of positive integer factors of 76880 that divides 76870 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 961, 1240, 1922, 2480, 3844, 4805, 7688, 9610, 15376, 19220, 38440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76870 and 76880. The biggest common factor number is the GCF number.
So the greatest common factor 76870 and 76880 is 10.

Also check out the Least Common Multiple of 76870 and 76880