What is the Greatest Common Factor of 42172 and 42188?

Greatest common factor (GCF) of 42172 and 42188 is 4.

GCF(42172,42188) = 4

We will now calculate the prime factors of 42172 and 42188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42172 and 42188.

How to find the GCF of 42172 and 42188?

We will first find the prime factorization of 42172 and 42188. After we will calculate the factors of 42172 and 42188 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 42188

Prime factors of 42188 are 2, 53, 199. Prime factorization of 42188 in exponential form is:

42188 = 2² × 53¹ × 199¹

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 42188

List of positive integer factors of 42188 that divides 42172 without a remainder.

1, 2, 4, 53, 106, 199, 212, 398, 796, 10547, 21094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42172 and 42188. The biggest common factor number is the GCF number.
So the greatest common factor 42172 and 42188 is 4.

Also check out the Least Common Multiple of 42172 and 42188