What is the Greatest Common Factor of 42188 and 42202?

Greatest common factor (GCF) of 42188 and 42202 is 2.

GCF(42188,42202) = 2

We will now calculate the prime factors of 42188 and 42202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42188 and 42202.

How to find the GCF of 42188 and 42202?

We will first find the prime factorization of 42188 and 42202. After we will calculate the factors of 42188 and 42202 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42202

Prime factors of 42202 are 2, 21101. Prime factorization of 42202 in exponential form is:

42202 = 2¹ × 21101¹

Step-3: Factors of 42188

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

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

Step-4: Factors of 42202

List of positive integer factors of 42202 that divides 42188 without a remainder.

1, 2, 21101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42188 and 42202. The biggest common factor number is the GCF number.
So the greatest common factor 42188 and 42202 is 2.

Also check out the Least Common Multiple of 42188 and 42202