What is the Greatest Common Factor of 49186 and 49198?

Greatest common factor (GCF) of 49186 and 49198 is 2.

GCF(49186,49198) = 2

We will now calculate the prime factors of 49186 and 49198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49186 and 49198.

How to find the GCF of 49186 and 49198?

We will first find the prime factorization of 49186 and 49198. After we will calculate the factors of 49186 and 49198 and find the biggest common factor number .

Step-1: Prime Factorization of 49186

Prime factors of 49186 are 2, 24593. Prime factorization of 49186 in exponential form is:

49186 = 2¹ × 24593¹

Step-2: Prime Factorization of 49198

Prime factors of 49198 are 2, 17, 1447. Prime factorization of 49198 in exponential form is:

49198 = 2¹ × 17¹ × 1447¹

Step-3: Factors of 49186

List of positive integer factors of 49186 that divides 49186 without a remainder.

1, 2, 24593

Step-4: Factors of 49198

List of positive integer factors of 49198 that divides 49186 without a remainder.

1, 2, 17, 34, 1447, 2894, 24599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49186 and 49198. The biggest common factor number is the GCF number.
So the greatest common factor 49186 and 49198 is 2.

Also check out the Least Common Multiple of 49186 and 49198