What is the Greatest Common Factor of 13759 and 13768?
Greatest common factor (GCF) of 13759 and 13768 is 1.
GCF(13759,13768) = 1
We will now calculate the prime factors of 13759 and 13768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13759 and 13768.
How to find the GCF of 13759 and 13768?
We will first find the prime factorization of 13759 and 13768. After we will calculate the factors of 13759 and 13768 and find the biggest common factor number .
Step-1: Prime Factorization of 13759
Prime factors of 13759 are 13759. Prime factorization of 13759 in exponential form is:
13759 = 137591
Step-2: Prime Factorization of 13768
Prime factors of 13768 are 2, 1721. Prime factorization of 13768 in exponential form is:
13768 = 23 × 17211
Step-3: Factors of 13759
List of positive integer factors of 13759 that divides 13759 without a remainder.
1
Step-4: Factors of 13768
List of positive integer factors of 13768 that divides 13759 without a remainder.
1, 2, 4, 8, 1721, 3442, 6884
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13759 and 13768. The biggest common factor number is the GCF number.
So the greatest common factor 13759 and 13768 is 1.
Also check out the Least Common Multiple of 13759 and 13768
Related Greatest Common Factors of 13759
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- GCF of 13759 and 13775
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Related Greatest Common Factors of 13768
- GCF of 13768 and 13772
- GCF of 13768 and 13773
- GCF of 13768 and 13774
- GCF of 13768 and 13775
- GCF of 13768 and 13776
- GCF of 13768 and 13777
- GCF of 13768 and 13778
- GCF of 13768 and 13779
- GCF of 13768 and 13780
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- GCF of 13768 and 13782
- GCF of 13768 and 13783
- GCF of 13768 and 13784
- GCF of 13768 and 13785
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