What is the Greatest Common Factor of 75150 and 75160?

Greatest common factor (GCF) of 75150 and 75160 is 10.

GCF(75150,75160) = 10

We will now calculate the prime factors of 75150 and 75160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75150 and 75160.

How to find the GCF of 75150 and 75160?

We will first find the prime factorization of 75150 and 75160. After we will calculate the factors of 75150 and 75160 and find the biggest common factor number .

Step-1: Prime Factorization of 75150

Prime factors of 75150 are 2, 3, 5, 167. Prime factorization of 75150 in exponential form is:

75150 = 2¹ × 3² × 5² × 167¹

Step-2: Prime Factorization of 75160

Prime factors of 75160 are 2, 5, 1879. Prime factorization of 75160 in exponential form is:

75160 = 2³ × 5¹ × 1879¹

Step-3: Factors of 75150

List of positive integer factors of 75150 that divides 75150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 167, 225, 334, 450, 501, 835, 1002, 1503, 1670, 2505, 3006, 4175, 5010, 7515, 8350, 12525, 15030, 25050, 37575

Step-4: Factors of 75160

List of positive integer factors of 75160 that divides 75150 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1879, 3758, 7516, 9395, 15032, 18790, 37580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75150 and 75160. The biggest common factor number is the GCF number.
So the greatest common factor 75150 and 75160 is 10.

Also check out the Least Common Multiple of 75150 and 75160