What is the Greatest Common Factor of 42172 and 42186?

Greatest common factor (GCF) of 42172 and 42186 is 2.

GCF(42172,42186) = 2

We will now calculate the prime factors of 42172 and 42186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42172 and 42186.

How to find the GCF of 42172 and 42186?

We will first find the prime factorization of 42172 and 42186. After we will calculate the factors of 42172 and 42186 and find the biggest common factor number .

Step-1: Prime Factorization of 42172

Prime factors of 42172 are 2, 13, 811. Prime factorization of 42172 in exponential form is:

42172 = 2² × 13¹ × 811¹

Step-2: Prime Factorization of 42186

Prime factors of 42186 are 2, 3, 79, 89. Prime factorization of 42186 in exponential form is:

42186 = 2¹ × 3¹ × 79¹ × 89¹

Step-3: Factors of 42172

List of positive integer factors of 42172 that divides 42172 without a remainder.

1, 2, 4, 13, 26, 52, 811, 1622, 3244, 10543, 21086

Step-4: Factors of 42186

List of positive integer factors of 42186 that divides 42172 without a remainder.

1, 2, 3, 6, 79, 89, 158, 178, 237, 267, 474, 534, 7031, 14062, 21093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42172 and 42186. The biggest common factor number is the GCF number.
So the greatest common factor 42172 and 42186 is 2.

Also check out the Least Common Multiple of 42172 and 42186