What is the Greatest Common Factor of 13654 and 13662?
Greatest common factor (GCF) of 13654 and 13662 is 2.
GCF(13654,13662) = 2
We will now calculate the prime factors of 13654 and 13662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13654 and 13662.
How to find the GCF of 13654 and 13662?
We will first find the prime factorization of 13654 and 13662. After we will calculate the factors of 13654 and 13662 and find the biggest common factor number .
Step-1: Prime Factorization of 13654
Prime factors of 13654 are 2, 6827. Prime factorization of 13654 in exponential form is:
13654 = 21 × 68271
Step-2: Prime Factorization of 13662
Prime factors of 13662 are 2, 3, 11, 23. Prime factorization of 13662 in exponential form is:
13662 = 21 × 33 × 111 × 231
Step-3: Factors of 13654
List of positive integer factors of 13654 that divides 13654 without a remainder.
1, 2, 6827
Step-4: Factors of 13662
List of positive integer factors of 13662 that divides 13654 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 99, 138, 198, 207, 253, 297, 414, 506, 594, 621, 759, 1242, 1518, 2277, 4554, 6831
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13654 and 13662. The biggest common factor number is the GCF number.
So the greatest common factor 13654 and 13662 is 2.
Also check out the Least Common Multiple of 13654 and 13662
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Related Greatest Common Factors of 13662
- GCF of 13662 and 13666
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