What is the Greatest Common Factor of 49181 and 49198?

Greatest common factor (GCF) of 49181 and 49198 is 17.

GCF(49181,49198) = 17

We will now calculate the prime factors of 49181 and 49198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49181 and 49198.

How to find the GCF of 49181 and 49198?

We will first find the prime factorization of 49181 and 49198. After we will calculate the factors of 49181 and 49198 and find the biggest common factor number .

Step-1: Prime Factorization of 49181

Prime factors of 49181 are 11, 17, 263. Prime factorization of 49181 in exponential form is:

49181 = 11¹ × 17¹ × 263¹

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 49181

List of positive integer factors of 49181 that divides 49181 without a remainder.

1, 11, 17, 187, 263, 2893, 4471

Step-4: Factors of 49198

List of positive integer factors of 49198 that divides 49181 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49181 and 49198. The biggest common factor number is the GCF number.
So the greatest common factor 49181 and 49198 is 17.

Also check out the Least Common Multiple of 49181 and 49198