What is the Greatest Common Factor of 13744 and 13764?
Greatest common factor (GCF) of 13744 and 13764 is 4.
GCF(13744,13764) = 4
We will now calculate the prime factors of 13744 and 13764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13744 and 13764.
How to find the GCF of 13744 and 13764?
We will first find the prime factorization of 13744 and 13764. After we will calculate the factors of 13744 and 13764 and find the biggest common factor number .
Step-1: Prime Factorization of 13744
Prime factors of 13744 are 2, 859. Prime factorization of 13744 in exponential form is:
13744 = 24 × 8591
Step-2: Prime Factorization of 13764
Prime factors of 13764 are 2, 3, 31, 37. Prime factorization of 13764 in exponential form is:
13764 = 22 × 31 × 311 × 371
Step-3: Factors of 13744
List of positive integer factors of 13744 that divides 13744 without a remainder.
1, 2, 4, 8, 16, 859, 1718, 3436, 6872
Step-4: Factors of 13764
List of positive integer factors of 13764 that divides 13744 without a remainder.
1, 2, 3, 4, 6, 12, 31, 37, 62, 74, 93, 111, 124, 148, 186, 222, 372, 444, 1147, 2294, 3441, 4588, 6882
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13744 and 13764. The biggest common factor number is the GCF number.
So the greatest common factor 13744 and 13764 is 4.
Also check out the Least Common Multiple of 13744 and 13764
Related Greatest Common Factors of 13744
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- GCF of 13744 and 13757
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- GCF of 13744 and 13760
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- GCF of 13744 and 13764
Related Greatest Common Factors of 13764
- GCF of 13764 and 13768
- GCF of 13764 and 13769
- GCF of 13764 and 13770
- GCF of 13764 and 13771
- GCF of 13764 and 13772
- GCF of 13764 and 13773
- GCF of 13764 and 13774
- GCF of 13764 and 13775
- GCF of 13764 and 13776
- GCF of 13764 and 13777
- GCF of 13764 and 13778
- GCF of 13764 and 13779
- GCF of 13764 and 13780
- GCF of 13764 and 13781
- GCF of 13764 and 13782
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