What is the Greatest Common Factor of 49098 and 49103?

Greatest common factor (GCF) of 49098 and 49103 is 1.

GCF(49098,49103) = 1

We will now calculate the prime factors of 49098 and 49103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49098 and 49103.

How to find the GCF of 49098 and 49103?

We will first find the prime factorization of 49098 and 49103. After we will calculate the factors of 49098 and 49103 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49103

Prime factors of 49103 are 49103. Prime factorization of 49103 in exponential form is:

49103 = 49103¹

Step-3: Factors of 49098

List of positive integer factors of 49098 that divides 49098 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

Step-4: Factors of 49103

List of positive integer factors of 49103 that divides 49098 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49098 and 49103. The biggest common factor number is the GCF number.
So the greatest common factor 49098 and 49103 is 1.

Also check out the Least Common Multiple of 49098 and 49103