What is the Greatest Common Factor of 52098 and 52118?

Greatest common factor (GCF) of 52098 and 52118 is 2.

GCF(52098,52118) = 2

We will now calculate the prime factors of 52098 and 52118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52098 and 52118.

How to find the GCF of 52098 and 52118?

We will first find the prime factorization of 52098 and 52118. After we will calculate the factors of 52098 and 52118 and find the biggest common factor number .

Step-1: Prime Factorization of 52098

Prime factors of 52098 are 2, 3, 19, 457. Prime factorization of 52098 in exponential form is:

52098 = 2¹ × 3¹ × 19¹ × 457¹

Step-2: Prime Factorization of 52118

Prime factors of 52118 are 2, 11, 23, 103. Prime factorization of 52118 in exponential form is:

52118 = 2¹ × 11¹ × 23¹ × 103¹

Step-3: Factors of 52098

List of positive integer factors of 52098 that divides 52098 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 457, 914, 1371, 2742, 8683, 17366, 26049

Step-4: Factors of 52118

List of positive integer factors of 52118 that divides 52098 without a remainder.

1, 2, 11, 22, 23, 46, 103, 206, 253, 506, 1133, 2266, 2369, 4738, 26059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52098 and 52118. The biggest common factor number is the GCF number.
So the greatest common factor 52098 and 52118 is 2.

Also check out the Least Common Multiple of 52098 and 52118