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Greatest Common Factor of 198 and 208

Greatest common factor (GCF) of 198 and 208 is 2.

GCF(198,208) = 2

We will now calculate the prime factors of 198 and 208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 198 and 208.

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Prime Factorization of 198

Prime factors of 198 are 2, 3, 11. Prime factorization of 198 in exponential form is:

198 = 21 × 32 × 111

Prime Factorization of 208

Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:

208 = 24 × 131

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99

Factors of 208

List of positive integer factors of 208 that divides 198 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104

Greatest Common Factor

We found the factors and prime factorization of 198 and 208. The biggest common factor number is the GCF number.
So the greatest common factor 198 and 208 is 2.

Also check out the Least Common Multiple of 198 and 208

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