What is the Greatest Common Factor of 47198 and 47212?

Greatest common factor (GCF) of 47198 and 47212 is 2.

GCF(47198,47212) = 2

We will now calculate the prime factors of 47198 and 47212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47198 and 47212.

How to find the GCF of 47198 and 47212?

We will first find the prime factorization of 47198 and 47212. After we will calculate the factors of 47198 and 47212 and find the biggest common factor number .

Step-1: Prime Factorization of 47198

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

47198 = 2¹ × 23599¹

Step-2: Prime Factorization of 47212

Prime factors of 47212 are 2, 11, 29, 37. Prime factorization of 47212 in exponential form is:

47212 = 2² × 11¹ × 29¹ × 37¹

Step-3: Factors of 47198

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

1, 2, 23599

Step-4: Factors of 47212

List of positive integer factors of 47212 that divides 47198 without a remainder.

1, 2, 4, 11, 22, 29, 37, 44, 58, 74, 116, 148, 319, 407, 638, 814, 1073, 1276, 1628, 2146, 4292, 11803, 23606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47198 and 47212. The biggest common factor number is the GCF number.
So the greatest common factor 47198 and 47212 is 2.

Also check out the Least Common Multiple of 47198 and 47212