What is the Greatest Common Factor of 59098 and 59113?

Greatest common factor (GCF) of 59098 and 59113 is 1.

GCF(59098,59113) = 1

We will now calculate the prime factors of 59098 and 59113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59098 and 59113.

How to find the GCF of 59098 and 59113?

We will first find the prime factorization of 59098 and 59113. After we will calculate the factors of 59098 and 59113 and find the biggest common factor number .

Step-1: Prime Factorization of 59098

Prime factors of 59098 are 2, 13, 2273. Prime factorization of 59098 in exponential form is:

59098 = 2¹ × 13¹ × 2273¹

Step-2: Prime Factorization of 59113

Prime factors of 59113 are 59113. Prime factorization of 59113 in exponential form is:

59113 = 59113¹

Step-3: Factors of 59098

List of positive integer factors of 59098 that divides 59098 without a remainder.

1, 2, 13, 26, 2273, 4546, 29549

Step-4: Factors of 59113

List of positive integer factors of 59113 that divides 59098 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59098 and 59113. The biggest common factor number is the GCF number.
So the greatest common factor 59098 and 59113 is 1.

Also check out the Least Common Multiple of 59098 and 59113