What is the Greatest Common Factor of 49079 and 49098?

Greatest common factor (GCF) of 49079 and 49098 is 1.

GCF(49079,49098) = 1

We will now calculate the prime factors of 49079 and 49098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49079 and 49098.

How to find the GCF of 49079 and 49098?

We will first find the prime factorization of 49079 and 49098. After we will calculate the factors of 49079 and 49098 and find the biggest common factor number .

Step-1: Prime Factorization of 49079

Prime factors of 49079 are 17, 2887. Prime factorization of 49079 in exponential form is:

49079 = 17¹ × 2887¹

Step-2: Prime Factorization of 49098

Prime factors of 49098 are 2, 3, 7, 167. Prime factorization of 49098 in exponential form is:

49098 = 2¹ × 3¹ × 7² × 167¹

Step-3: Factors of 49079

List of positive integer factors of 49079 that divides 49079 without a remainder.

1, 17, 2887

Step-4: Factors of 49098

List of positive integer factors of 49098 that divides 49079 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 167, 294, 334, 501, 1002, 1169, 2338, 3507, 7014, 8183, 16366, 24549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49079 and 49098. The biggest common factor number is the GCF number.
So the greatest common factor 49079 and 49098 is 1.

Also check out the Least Common Multiple of 49079 and 49098