Greatest Common Factor of 200 and 205

Greatest common factor (GCF) of 200 and 205 is 5.

GCF(200,205) = 5

We will now calculate the prime factors of 200 and 205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 200 and 205.

GCF Calculator and

Prime Factorization of 200

Prime factors of 200 are 2, 5. Prime factorization of 200 in exponential form is:

200 = 23 × 52

Prime Factorization of 205

Prime factors of 205 are 5, 41. Prime factorization of 205 in exponential form is:

205 = 51 × 411

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100

Factors of 205

List of positive integer factors of 205 that divides 200 without a remainder.

1, 5, 41

Greatest Common Factor

We found the factors and prime factorization of 200 and 205. The biggest common factor number is the GCF number.
So the greatest common factor 200 and 205 is 5.

Also check out the Least Common Multiple of 200 and 205