What is the Greatest Common Factor of 67600 and 67605?

Greatest common factor (GCF) of 67600 and 67605 is 5.

GCF(67600,67605) = 5

We will now calculate the prime factors of 67600 and 67605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67600 and 67605.

How to find the GCF of 67600 and 67605?

We will first find the prime factorization of 67600 and 67605. After we will calculate the factors of 67600 and 67605 and find the biggest common factor number .

Step-1: Prime Factorization of 67600

Prime factors of 67600 are 2, 5, 13. Prime factorization of 67600 in exponential form is:

67600 = 2⁴ × 5² × 13²

Step-2: Prime Factorization of 67605

Prime factors of 67605 are 3, 5, 4507. Prime factorization of 67605 in exponential form is:

67605 = 3¹ × 5¹ × 4507¹

Step-3: Factors of 67600

List of positive integer factors of 67600 that divides 67600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 169, 200, 208, 260, 325, 338, 400, 520, 650, 676, 845, 1040, 1300, 1352, 1690, 2600, 2704, 3380, 4225, 5200, 6760, 8450, 13520, 16900, 33800

Step-4: Factors of 67605

List of positive integer factors of 67605 that divides 67600 without a remainder.

1, 3, 5, 15, 4507, 13521, 22535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67600 and 67605. The biggest common factor number is the GCF number.
So the greatest common factor 67600 and 67605 is 5.

Also check out the Least Common Multiple of 67600 and 67605