What is the Greatest Common Factor of 67600 and 67608?

Greatest common factor (GCF) of 67600 and 67608 is 8.

GCF(67600,67608) = 8

We will now calculate the prime factors of 67600 and 67608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67600 and 67608.

How to find the GCF of 67600 and 67608?

We will first find the prime factorization of 67600 and 67608. After we will calculate the factors of 67600 and 67608 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 67608

Prime factors of 67608 are 2, 3, 313. Prime factorization of 67608 in exponential form is:

67608 = 2³ × 3³ × 313¹

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 67608

List of positive integer factors of 67608 that divides 67600 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5634, 7512, 8451, 11268, 16902, 22536, 33804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67600 and 67608. The biggest common factor number is the GCF number.
So the greatest common factor 67600 and 67608 is 8.

Also check out the Least Common Multiple of 67600 and 67608