What is the Greatest Common Factor of 59298 and 59308?

Greatest common factor (GCF) of 59298 and 59308 is 2.

GCF(59298,59308) = 2

We will now calculate the prime factors of 59298 and 59308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59298 and 59308.

How to find the GCF of 59298 and 59308?

We will first find the prime factorization of 59298 and 59308. After we will calculate the factors of 59298 and 59308 and find the biggest common factor number .

Step-1: Prime Factorization of 59298

Prime factors of 59298 are 2, 3, 9883. Prime factorization of 59298 in exponential form is:

59298 = 2¹ × 3¹ × 9883¹

Step-2: Prime Factorization of 59308

Prime factors of 59308 are 2, 14827. Prime factorization of 59308 in exponential form is:

59308 = 2² × 14827¹

Step-3: Factors of 59298

List of positive integer factors of 59298 that divides 59298 without a remainder.

1, 2, 3, 6, 9883, 19766, 29649

Step-4: Factors of 59308

List of positive integer factors of 59308 that divides 59298 without a remainder.

1, 2, 4, 14827, 29654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59298 and 59308. The biggest common factor number is the GCF number.
So the greatest common factor 59298 and 59308 is 2.

Also check out the Least Common Multiple of 59298 and 59308