What is the Greatest Common Factor of 13608 and 13626?
Greatest common factor (GCF) of 13608 and 13626 is 18.
GCF(13608,13626) = 18
We will now calculate the prime factors of 13608 and 13626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13608 and 13626.
How to find the GCF of 13608 and 13626?
We will first find the prime factorization of 13608 and 13626. After we will calculate the factors of 13608 and 13626 and find the biggest common factor number .
Step-1: Prime Factorization of 13608
Prime factors of 13608 are 2, 3, 7. Prime factorization of 13608 in exponential form is:
13608 = 23 × 35 × 71
Step-2: Prime Factorization of 13626
Prime factors of 13626 are 2, 3, 757. Prime factorization of 13626 in exponential form is:
13626 = 21 × 32 × 7571
Step-3: Factors of 13608
List of positive integer factors of 13608 that divides 13608 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 243, 252, 324, 378, 486, 504, 567, 648, 756, 972, 1134, 1512, 1701, 1944, 2268, 3402, 4536, 6804
Step-4: Factors of 13626
List of positive integer factors of 13626 that divides 13608 without a remainder.
1, 2, 3, 6, 9, 18, 757, 1514, 2271, 4542, 6813
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13608 and 13626. The biggest common factor number is the GCF number.
So the greatest common factor 13608 and 13626 is 18.
Also check out the Least Common Multiple of 13608 and 13626
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Related Greatest Common Factors of 13626
- GCF of 13626 and 13630
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