What is the Greatest Common Factor of 47188 and 47198?

Greatest common factor (GCF) of 47188 and 47198 is 2.

GCF(47188,47198) = 2

We will now calculate the prime factors of 47188 and 47198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47188 and 47198.

How to find the GCF of 47188 and 47198?

We will first find the prime factorization of 47188 and 47198. After we will calculate the factors of 47188 and 47198 and find the biggest common factor number .

Step-1: Prime Factorization of 47188

Prime factors of 47188 are 2, 47, 251. Prime factorization of 47188 in exponential form is:

47188 = 2² × 47¹ × 251¹

Step-2: Prime Factorization of 47198

Prime factors of 47198 are 2, 23599. Prime factorization of 47198 in exponential form is:

47198 = 2¹ × 23599¹

Step-3: Factors of 47188

List of positive integer factors of 47188 that divides 47188 without a remainder.

1, 2, 4, 47, 94, 188, 251, 502, 1004, 11797, 23594

Step-4: Factors of 47198

List of positive integer factors of 47198 that divides 47188 without a remainder.

1, 2, 23599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47188 and 47198. The biggest common factor number is the GCF number.
So the greatest common factor 47188 and 47198 is 2.

Also check out the Least Common Multiple of 47188 and 47198