What is the Greatest Common Factor of 13736 and 13746?
Greatest common factor (GCF) of 13736 and 13746 is 2.
GCF(13736,13746) = 2
We will now calculate the prime factors of 13736 and 13746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13736 and 13746.
How to find the GCF of 13736 and 13746?
We will first find the prime factorization of 13736 and 13746. After we will calculate the factors of 13736 and 13746 and find the biggest common factor number .
Step-1: Prime Factorization of 13736
Prime factors of 13736 are 2, 17, 101. Prime factorization of 13736 in exponential form is:
13736 = 23 × 171 × 1011
Step-2: Prime Factorization of 13746
Prime factors of 13746 are 2, 3, 29, 79. Prime factorization of 13746 in exponential form is:
13746 = 21 × 31 × 291 × 791
Step-3: Factors of 13736
List of positive integer factors of 13736 that divides 13736 without a remainder.
1, 2, 4, 8, 17, 34, 68, 101, 136, 202, 404, 808, 1717, 3434, 6868
Step-4: Factors of 13746
List of positive integer factors of 13746 that divides 13736 without a remainder.
1, 2, 3, 6, 29, 58, 79, 87, 158, 174, 237, 474, 2291, 4582, 6873
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13736 and 13746. The biggest common factor number is the GCF number.
So the greatest common factor 13736 and 13746 is 2.
Also check out the Least Common Multiple of 13736 and 13746
Related Greatest Common Factors of 13736
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Related Greatest Common Factors of 13746
- GCF of 13746 and 13750
- GCF of 13746 and 13751
- GCF of 13746 and 13752
- GCF of 13746 and 13753
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- GCF of 13746 and 13756
- GCF of 13746 and 13757
- GCF of 13746 and 13758
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- GCF of 13746 and 13760
- GCF of 13746 and 13761
- GCF of 13746 and 13762
- GCF of 13746 and 13763
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