What is the Greatest Common Factor of 62340 and 62355?

Greatest common factor (GCF) of 62340 and 62355 is 15.

GCF(62340,62355) = 15

We will now calculate the prime factors of 62340 and 62355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62340 and 62355.

How to find the GCF of 62340 and 62355?

We will first find the prime factorization of 62340 and 62355. After we will calculate the factors of 62340 and 62355 and find the biggest common factor number .

Step-1: Prime Factorization of 62340

Prime factors of 62340 are 2, 3, 5, 1039. Prime factorization of 62340 in exponential form is:

62340 = 2² × 3¹ × 5¹ × 1039¹

Step-2: Prime Factorization of 62355

Prime factors of 62355 are 3, 5, 4157. Prime factorization of 62355 in exponential form is:

62355 = 3¹ × 5¹ × 4157¹

Step-3: Factors of 62340

List of positive integer factors of 62340 that divides 62340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1039, 2078, 3117, 4156, 5195, 6234, 10390, 12468, 15585, 20780, 31170

Step-4: Factors of 62355

List of positive integer factors of 62355 that divides 62340 without a remainder.

1, 3, 5, 15, 4157, 12471, 20785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62340 and 62355. The biggest common factor number is the GCF number.
So the greatest common factor 62340 and 62355 is 15.

Also check out the Least Common Multiple of 62340 and 62355