What is the Greatest Common Factor of 65358 and 65370?

Greatest common factor (GCF) of 65358 and 65370 is 6.

GCF(65358,65370) = 6

We will now calculate the prime factors of 65358 and 65370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65358 and 65370.

How to find the GCF of 65358 and 65370?

We will first find the prime factorization of 65358 and 65370. After we will calculate the factors of 65358 and 65370 and find the biggest common factor number .

Step-1: Prime Factorization of 65358

Prime factors of 65358 are 2, 3, 3631. Prime factorization of 65358 in exponential form is:

65358 = 2¹ × 3² × 3631¹

Step-2: Prime Factorization of 65370

Prime factors of 65370 are 2, 3, 5, 2179. Prime factorization of 65370 in exponential form is:

65370 = 2¹ × 3¹ × 5¹ × 2179¹

Step-3: Factors of 65358

List of positive integer factors of 65358 that divides 65358 without a remainder.

1, 2, 3, 6, 9, 18, 3631, 7262, 10893, 21786, 32679

Step-4: Factors of 65370

List of positive integer factors of 65370 that divides 65358 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2179, 4358, 6537, 10895, 13074, 21790, 32685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65358 and 65370. The biggest common factor number is the GCF number.
So the greatest common factor 65358 and 65370 is 6.

Also check out the Least Common Multiple of 65358 and 65370