What is the Greatest Common Factor of 65370 and 65379?

Greatest common factor (GCF) of 65370 and 65379 is 3.

GCF(65370,65379) = 3

We will now calculate the prime factors of 65370 and 65379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65370 and 65379.

How to find the GCF of 65370 and 65379?

We will first find the prime factorization of 65370 and 65379. After we will calculate the factors of 65370 and 65379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65379

Prime factors of 65379 are 3, 19, 31, 37. Prime factorization of 65379 in exponential form is:

65379 = 3¹ × 19¹ × 31¹ × 37¹

Step-3: Factors of 65370

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

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

Step-4: Factors of 65379

List of positive integer factors of 65379 that divides 65370 without a remainder.

1, 3, 19, 31, 37, 57, 93, 111, 589, 703, 1147, 1767, 2109, 3441, 21793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65370 and 65379. The biggest common factor number is the GCF number.
So the greatest common factor 65370 and 65379 is 3.

Also check out the Least Common Multiple of 65370 and 65379