What is the Greatest Common Factor of 68600 and 68615?

Greatest common factor (GCF) of 68600 and 68615 is 5.

GCF(68600,68615) = 5

We will now calculate the prime factors of 68600 and 68615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68600 and 68615.

How to find the GCF of 68600 and 68615?

We will first find the prime factorization of 68600 and 68615. After we will calculate the factors of 68600 and 68615 and find the biggest common factor number .

Step-1: Prime Factorization of 68600

Prime factors of 68600 are 2, 5, 7. Prime factorization of 68600 in exponential form is:

68600 = 2³ × 5² × 7³

Step-2: Prime Factorization of 68615

Prime factors of 68615 are 5, 13723. Prime factorization of 68615 in exponential form is:

68615 = 5¹ × 13723¹

Step-3: Factors of 68600

List of positive integer factors of 68600 that divides 68600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 343, 350, 392, 490, 686, 700, 980, 1225, 1372, 1400, 1715, 1960, 2450, 2744, 3430, 4900, 6860, 8575, 9800, 13720, 17150, 34300

Step-4: Factors of 68615

List of positive integer factors of 68615 that divides 68600 without a remainder.

1, 5, 13723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68600 and 68615. The biggest common factor number is the GCF number.
So the greatest common factor 68600 and 68615 is 5.

Also check out the Least Common Multiple of 68600 and 68615