What is the Greatest Common Factor of 56175 and 56180?

Greatest common factor (GCF) of 56175 and 56180 is 5.

GCF(56175,56180) = 5

We will now calculate the prime factors of 56175 and 56180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56175 and 56180.

How to find the GCF of 56175 and 56180?

We will first find the prime factorization of 56175 and 56180. After we will calculate the factors of 56175 and 56180 and find the biggest common factor number .

Step-1: Prime Factorization of 56175

Prime factors of 56175 are 3, 5, 7, 107. Prime factorization of 56175 in exponential form is:

56175 = 3¹ × 5² × 7¹ × 107¹

Step-2: Prime Factorization of 56180

Prime factors of 56180 are 2, 5, 53. Prime factorization of 56180 in exponential form is:

56180 = 2² × 5¹ × 53²

Step-3: Factors of 56175

List of positive integer factors of 56175 that divides 56175 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 107, 175, 321, 525, 535, 749, 1605, 2247, 2675, 3745, 8025, 11235, 18725

Step-4: Factors of 56180

List of positive integer factors of 56180 that divides 56175 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060, 2809, 5618, 11236, 14045, 28090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56175 and 56180. The biggest common factor number is the GCF number.
So the greatest common factor 56175 and 56180 is 5.

Also check out the Least Common Multiple of 56175 and 56180