What is the Greatest Common Factor of 56175 and 56182?

Greatest common factor (GCF) of 56175 and 56182 is 7.

GCF(56175,56182) = 7

We will now calculate the prime factors of 56175 and 56182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56175 and 56182.

How to find the GCF of 56175 and 56182?

We will first find the prime factorization of 56175 and 56182. After we will calculate the factors of 56175 and 56182 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 56182

Prime factors of 56182 are 2, 7, 4013. Prime factorization of 56182 in exponential form is:

56182 = 2¹ × 7¹ × 4013¹

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 56182

List of positive integer factors of 56182 that divides 56175 without a remainder.

1, 2, 7, 14, 4013, 8026, 28091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56175 and 56182. The biggest common factor number is the GCF number.
So the greatest common factor 56175 and 56182 is 7.

Also check out the Least Common Multiple of 56175 and 56182