What is the Greatest Common Factor of 76180 and 76195?

Greatest common factor (GCF) of 76180 and 76195 is 5.

GCF(76180,76195) = 5

We will now calculate the prime factors of 76180 and 76195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76180 and 76195.

How to find the GCF of 76180 and 76195?

We will first find the prime factorization of 76180 and 76195. After we will calculate the factors of 76180 and 76195 and find the biggest common factor number .

Step-1: Prime Factorization of 76180

Prime factors of 76180 are 2, 5, 13, 293. Prime factorization of 76180 in exponential form is:

76180 = 2² × 5¹ × 13¹ × 293¹

Step-2: Prime Factorization of 76195

Prime factors of 76195 are 5, 7, 311. Prime factorization of 76195 in exponential form is:

76195 = 5¹ × 7² × 311¹

Step-3: Factors of 76180

List of positive integer factors of 76180 that divides 76180 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 293, 586, 1172, 1465, 2930, 3809, 5860, 7618, 15236, 19045, 38090

Step-4: Factors of 76195

List of positive integer factors of 76195 that divides 76180 without a remainder.

1, 5, 7, 35, 49, 245, 311, 1555, 2177, 10885, 15239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76180 and 76195. The biggest common factor number is the GCF number.
So the greatest common factor 76180 and 76195 is 5.

Also check out the Least Common Multiple of 76180 and 76195