What is the Greatest Common Factor of 76980 and 76988?

Greatest common factor (GCF) of 76980 and 76988 is 4.

GCF(76980,76988) = 4

We will now calculate the prime factors of 76980 and 76988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76980 and 76988.

How to find the GCF of 76980 and 76988?

We will first find the prime factorization of 76980 and 76988. After we will calculate the factors of 76980 and 76988 and find the biggest common factor number .

Step-1: Prime Factorization of 76980

Prime factors of 76980 are 2, 3, 5, 1283. Prime factorization of 76980 in exponential form is:

76980 = 2² × 3¹ × 5¹ × 1283¹

Step-2: Prime Factorization of 76988

Prime factors of 76988 are 2, 19, 1013. Prime factorization of 76988 in exponential form is:

76988 = 2² × 19¹ × 1013¹

Step-3: Factors of 76980

List of positive integer factors of 76980 that divides 76980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1283, 2566, 3849, 5132, 6415, 7698, 12830, 15396, 19245, 25660, 38490

Step-4: Factors of 76988

List of positive integer factors of 76988 that divides 76980 without a remainder.

1, 2, 4, 19, 38, 76, 1013, 2026, 4052, 19247, 38494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76980 and 76988. The biggest common factor number is the GCF number.
So the greatest common factor 76980 and 76988 is 4.

Also check out the Least Common Multiple of 76980 and 76988