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Greatest Common Factor of 36 and 63

Greatest common factor (GCF) of 36 and 63 is 9.

GCF(36,63) = 9

We will now calculate the prime factors of 36 and 63, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 63.

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Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 22 × 32

Prime Factorization of 63

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

63 = 32 × 71

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Factors of 63

List of positive integer factors of 63 that divides 36 without a remainder.

1, 3, 7, 9, 21

Greatest Common Factor

We found the factors and prime factorization of 36 and 63. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 63 is 9.

Also check out the Least Common Multiple of 36 and 63

Recent Comments
Victoria 2020-06-11 15:47:48

Thank You. It’s very useful. Will use from now through out high school.

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