What is the Greatest Common Factor of 67360 and 67365?

Greatest common factor (GCF) of 67360 and 67365 is 5.

GCF(67360,67365) = 5

We will now calculate the prime factors of 67360 and 67365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67360 and 67365.

How to find the GCF of 67360 and 67365?

We will first find the prime factorization of 67360 and 67365. After we will calculate the factors of 67360 and 67365 and find the biggest common factor number .

Step-1: Prime Factorization of 67360

Prime factors of 67360 are 2, 5, 421. Prime factorization of 67360 in exponential form is:

67360 = 2⁵ × 5¹ × 421¹

Step-2: Prime Factorization of 67365

Prime factors of 67365 are 3, 5, 499. Prime factorization of 67365 in exponential form is:

67365 = 3³ × 5¹ × 499¹

Step-3: Factors of 67360

List of positive integer factors of 67360 that divides 67360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 421, 842, 1684, 2105, 3368, 4210, 6736, 8420, 13472, 16840, 33680

Step-4: Factors of 67365

List of positive integer factors of 67365 that divides 67360 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 499, 1497, 2495, 4491, 7485, 13473, 22455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67360 and 67365. The biggest common factor number is the GCF number.
So the greatest common factor 67360 and 67365 is 5.

Also check out the Least Common Multiple of 67360 and 67365