What is the Greatest Common Factor of 67600 and 67616?

Greatest common factor (GCF) of 67600 and 67616 is 16.

GCF(67600,67616) = 16

We will now calculate the prime factors of 67600 and 67616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67600 and 67616.

How to find the GCF of 67600 and 67616?

We will first find the prime factorization of 67600 and 67616. After we will calculate the factors of 67600 and 67616 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 67616

Prime factors of 67616 are 2, 2113. Prime factorization of 67616 in exponential form is:

67616 = 2⁵ × 2113¹

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 67616

List of positive integer factors of 67616 that divides 67600 without a remainder.

1, 2, 4, 8, 16, 32, 2113, 4226, 8452, 16904, 33808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67600 and 67616. The biggest common factor number is the GCF number.
So the greatest common factor 67600 and 67616 is 16.

Also check out the Least Common Multiple of 67600 and 67616