What is the Greatest Common Factor of 62198 and 62212?

Greatest common factor (GCF) of 62198 and 62212 is 2.

GCF(62198,62212) = 2

We will now calculate the prime factors of 62198 and 62212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62198 and 62212.

How to find the GCF of 62198 and 62212?

We will first find the prime factorization of 62198 and 62212. After we will calculate the factors of 62198 and 62212 and find the biggest common factor number .

Step-1: Prime Factorization of 62198

Prime factors of 62198 are 2, 137, 227. Prime factorization of 62198 in exponential form is:

62198 = 2¹ × 137¹ × 227¹

Step-2: Prime Factorization of 62212

Prime factors of 62212 are 2, 103, 151. Prime factorization of 62212 in exponential form is:

62212 = 2² × 103¹ × 151¹

Step-3: Factors of 62198

List of positive integer factors of 62198 that divides 62198 without a remainder.

1, 2, 137, 227, 274, 454, 31099

Step-4: Factors of 62212

List of positive integer factors of 62212 that divides 62198 without a remainder.

1, 2, 4, 103, 151, 206, 302, 412, 604, 15553, 31106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62198 and 62212. The biggest common factor number is the GCF number.
So the greatest common factor 62198 and 62212 is 2.

Also check out the Least Common Multiple of 62198 and 62212