What is the Greatest Common Factor of 49949 and 49959?

Greatest common factor (GCF) of 49949 and 49959 is 1.

GCF(49949,49959) = 1

We will now calculate the prime factors of 49949 and 49959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49949 and 49959.

How to find the GCF of 49949 and 49959?

We will first find the prime factorization of 49949 and 49959. After we will calculate the factors of 49949 and 49959 and find the biggest common factor number .

Step-1: Prime Factorization of 49949

Prime factors of 49949 are 199, 251. Prime factorization of 49949 in exponential form is:

49949 = 199¹ × 251¹

Step-2: Prime Factorization of 49959

Prime factors of 49959 are 3, 7, 13, 61. Prime factorization of 49959 in exponential form is:

49959 = 3² × 7¹ × 13¹ × 61¹

Step-3: Factors of 49949

List of positive integer factors of 49949 that divides 49949 without a remainder.

1, 199, 251

Step-4: Factors of 49959

List of positive integer factors of 49959 that divides 49949 without a remainder.

1, 3, 7, 9, 13, 21, 39, 61, 63, 91, 117, 183, 273, 427, 549, 793, 819, 1281, 2379, 3843, 5551, 7137, 16653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49949 and 49959. The biggest common factor number is the GCF number.
So the greatest common factor 49949 and 49959 is 1.

Also check out the Least Common Multiple of 49949 and 49959