What is the Greatest Common Factor of 76150 and 76170?

Greatest common factor (GCF) of 76150 and 76170 is 10.

GCF(76150,76170) = 10

We will now calculate the prime factors of 76150 and 76170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76150 and 76170.

How to find the GCF of 76150 and 76170?

We will first find the prime factorization of 76150 and 76170. After we will calculate the factors of 76150 and 76170 and find the biggest common factor number .

Step-1: Prime Factorization of 76150

Prime factors of 76150 are 2, 5, 1523. Prime factorization of 76150 in exponential form is:

76150 = 2¹ × 5² × 1523¹

Step-2: Prime Factorization of 76170

Prime factors of 76170 are 2, 3, 5, 2539. Prime factorization of 76170 in exponential form is:

76170 = 2¹ × 3¹ × 5¹ × 2539¹

Step-3: Factors of 76150

List of positive integer factors of 76150 that divides 76150 without a remainder.

1, 2, 5, 10, 25, 50, 1523, 3046, 7615, 15230, 38075

Step-4: Factors of 76170

List of positive integer factors of 76170 that divides 76150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2539, 5078, 7617, 12695, 15234, 25390, 38085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76150 and 76170. The biggest common factor number is the GCF number.
So the greatest common factor 76150 and 76170 is 10.

Also check out the Least Common Multiple of 76150 and 76170