What is the Greatest Common Factor of 49185 and 49199?

Greatest common factor (GCF) of 49185 and 49199 is 1.

GCF(49185,49199) = 1

We will now calculate the prime factors of 49185 and 49199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49185 and 49199.

How to find the GCF of 49185 and 49199?

We will first find the prime factorization of 49185 and 49199. After we will calculate the factors of 49185 and 49199 and find the biggest common factor number .

Step-1: Prime Factorization of 49185

Prime factors of 49185 are 3, 5, 1093. Prime factorization of 49185 in exponential form is:

49185 = 3² × 5¹ × 1093¹

Step-2: Prime Factorization of 49199

Prime factors of 49199 are 49199. Prime factorization of 49199 in exponential form is:

49199 = 49199¹

Step-3: Factors of 49185

List of positive integer factors of 49185 that divides 49185 without a remainder.

1, 3, 5, 9, 15, 45, 1093, 3279, 5465, 9837, 16395

Step-4: Factors of 49199

List of positive integer factors of 49199 that divides 49185 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49185 and 49199. The biggest common factor number is the GCF number.
So the greatest common factor 49185 and 49199 is 1.

Also check out the Least Common Multiple of 49185 and 49199