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What is the Greatest Common Factor of 51 and 63?

Greatest common factor (GCF) of 51 and 63 is 3.

GCF(51,63) = 3

We will now calculate the prime factors of 51 and 63, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51 and 63.

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How to find the GCF of 51 and 63?

We will first find the prime factorization of 51 and 63. After we will calculate the factors of 51 and 63 and find the biggest common factor number .

Step-1: Prime Factorization of 51

Prime factors of 51 are 3, 17. Prime factorization of 51 in exponential form is:

51 = 31 × 171

Step-2: Prime Factorization of 63

Prime factors of 63 are 3, 7. Prime factorization of 63 in exponential form is:

63 = 32 × 71

Step-3: Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1, 3, 17

Step-4: Factors of 63

List of positive integer factors of 63 that divides 51 without a remainder.

1, 3, 7, 9, 21

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51 and 63. The biggest common factor number is the GCF number.
So the greatest common factor 51 and 63 is 3.

Also check out the Least Common Multiple of 51 and 63

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