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Greatest Common Factor of 16 and 30

Greatest common factor (GCF) of 16 and 30 is 2.

GCF(16,30) = 2

We will now calculate the prime factors of 16 and 30, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16 and 30.

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Prime Factorization of 16

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8

Factors of 30

List of positive integer factors of 30 that divides 16 without a remainder.

1, 2, 3, 5, 6, 10, 15

Greatest Common Factor

We found the factors and prime factorization of 16 and 30. The biggest common factor number is the GCF number.
So the greatest common factor 16 and 30 is 2.

Also check out the Least Common Multiple of 16 and 30

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