What is the Greatest Common Factor of 59085 and 59098?

Greatest common factor (GCF) of 59085 and 59098 is 13.

GCF(59085,59098) = 13

We will now calculate the prime factors of 59085 and 59098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59085 and 59098.

How to find the GCF of 59085 and 59098?

We will first find the prime factorization of 59085 and 59098. After we will calculate the factors of 59085 and 59098 and find the biggest common factor number .

Step-1: Prime Factorization of 59085

Prime factors of 59085 are 3, 5, 13, 101. Prime factorization of 59085 in exponential form is:

59085 = 3² × 5¹ × 13¹ × 101¹

Step-2: 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-3: Factors of 59085

List of positive integer factors of 59085 that divides 59085 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 101, 117, 195, 303, 505, 585, 909, 1313, 1515, 3939, 4545, 6565, 11817, 19695

Step-4: Factors of 59098

List of positive integer factors of 59098 that divides 59085 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59085 and 59098. The biggest common factor number is the GCF number.
So the greatest common factor 59085 and 59098 is 13.

Also check out the Least Common Multiple of 59085 and 59098