What is the Greatest Common Factor of 65350 and 65370?

Greatest common factor (GCF) of 65350 and 65370 is 10.

GCF(65350,65370) = 10

We will now calculate the prime factors of 65350 and 65370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65350 and 65370.

How to find the GCF of 65350 and 65370?

We will first find the prime factorization of 65350 and 65370. After we will calculate the factors of 65350 and 65370 and find the biggest common factor number .

Step-1: Prime Factorization of 65350

Prime factors of 65350 are 2, 5, 1307. Prime factorization of 65350 in exponential form is:

65350 = 2¹ × 5² × 1307¹

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 65350

List of positive integer factors of 65350 that divides 65350 without a remainder.

1, 2, 5, 10, 25, 50, 1307, 2614, 6535, 13070, 32675

Step-4: Factors of 65370

List of positive integer factors of 65370 that divides 65350 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 65350 and 65370. The biggest common factor number is the GCF number.
So the greatest common factor 65350 and 65370 is 10.

Also check out the Least Common Multiple of 65350 and 65370