What is the Greatest Common Factor of 56166 and 56175?

Greatest common factor (GCF) of 56166 and 56175 is 3.

GCF(56166,56175) = 3

We will now calculate the prime factors of 56166 and 56175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56166 and 56175.

How to find the GCF of 56166 and 56175?

We will first find the prime factorization of 56166 and 56175. After we will calculate the factors of 56166 and 56175 and find the biggest common factor number .

Step-1: Prime Factorization of 56166

Prime factors of 56166 are 2, 3, 11, 23, 37. Prime factorization of 56166 in exponential form is:

56166 = 2¹ × 3¹ × 11¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 56166

List of positive integer factors of 56166 that divides 56166 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 37, 46, 66, 69, 74, 111, 138, 222, 253, 407, 506, 759, 814, 851, 1221, 1518, 1702, 2442, 2553, 5106, 9361, 18722, 28083

Step-4: Factors of 56175

List of positive integer factors of 56175 that divides 56166 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56166 and 56175. The biggest common factor number is the GCF number.
So the greatest common factor 56166 and 56175 is 3.

Also check out the Least Common Multiple of 56166 and 56175