What is the Greatest Common Factor of 13632 and 13644?
Greatest common factor (GCF) of 13632 and 13644 is 12.
GCF(13632,13644) = 12
We will now calculate the prime factors of 13632 and 13644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13632 and 13644.
How to find the GCF of 13632 and 13644?
We will first find the prime factorization of 13632 and 13644. After we will calculate the factors of 13632 and 13644 and find the biggest common factor number .
Step-1: Prime Factorization of 13632
Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:
13632 = 26 × 31 × 711
Step-2: Prime Factorization of 13644
Prime factors of 13644 are 2, 3, 379. Prime factorization of 13644 in exponential form is:
13644 = 22 × 32 × 3791
Step-3: Factors of 13632
List of positive integer factors of 13632 that divides 13632 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 142, 192, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 4544, 6816
Step-4: Factors of 13644
List of positive integer factors of 13644 that divides 13632 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 379, 758, 1137, 1516, 2274, 3411, 4548, 6822
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13632 and 13644. The biggest common factor number is the GCF number.
So the greatest common factor 13632 and 13644 is 12.
Also check out the Least Common Multiple of 13632 and 13644
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- GCF of 13632 and 13643
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Related Greatest Common Factors of 13644
- GCF of 13644 and 13648
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- GCF of 13644 and 13654
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