What is the Greatest Common Factor of 59084 and 59098?

Greatest common factor (GCF) of 59084 and 59098 is 2.

GCF(59084,59098) = 2

We will now calculate the prime factors of 59084 and 59098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59084 and 59098.

How to find the GCF of 59084 and 59098?

We will first find the prime factorization of 59084 and 59098. After we will calculate the factors of 59084 and 59098 and find the biggest common factor number .

Step-1: Prime Factorization of 59084

Prime factors of 59084 are 2, 14771. Prime factorization of 59084 in exponential form is:

59084 = 2² × 14771¹

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 59084

List of positive integer factors of 59084 that divides 59084 without a remainder.

1, 2, 4, 14771, 29542

Step-4: Factors of 59098

List of positive integer factors of 59098 that divides 59084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59084 and 59098. The biggest common factor number is the GCF number.
So the greatest common factor 59084 and 59098 is 2.

Also check out the Least Common Multiple of 59084 and 59098