What is the Greatest Common Factor of 13715 and 13722?
Greatest common factor (GCF) of 13715 and 13722 is 1.
GCF(13715,13722) = 1
We will now calculate the prime factors of 13715 and 13722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13715 and 13722.
How to find the GCF of 13715 and 13722?
We will first find the prime factorization of 13715 and 13722. After we will calculate the factors of 13715 and 13722 and find the biggest common factor number .
Step-1: Prime Factorization of 13715
Prime factors of 13715 are 5, 13, 211. Prime factorization of 13715 in exponential form is:
13715 = 51 × 131 × 2111
Step-2: Prime Factorization of 13722
Prime factors of 13722 are 2, 3, 2287. Prime factorization of 13722 in exponential form is:
13722 = 21 × 31 × 22871
Step-3: Factors of 13715
List of positive integer factors of 13715 that divides 13715 without a remainder.
1, 5, 13, 65, 211, 1055, 2743
Step-4: Factors of 13722
List of positive integer factors of 13722 that divides 13715 without a remainder.
1, 2, 3, 6, 2287, 4574, 6861
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13715 and 13722. The biggest common factor number is the GCF number.
So the greatest common factor 13715 and 13722 is 1.
Also check out the Least Common Multiple of 13715 and 13722
Related Greatest Common Factors of 13715
- GCF of 13715 and 13719
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- GCF of 13715 and 13731
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Related Greatest Common Factors of 13722
- GCF of 13722 and 13726
- GCF of 13722 and 13727
- GCF of 13722 and 13728
- GCF of 13722 and 13729
- GCF of 13722 and 13730
- GCF of 13722 and 13731
- GCF of 13722 and 13732
- GCF of 13722 and 13733
- GCF of 13722 and 13734
- GCF of 13722 and 13735
- GCF of 13722 and 13736
- GCF of 13722 and 13737
- GCF of 13722 and 13738
- GCF of 13722 and 13739
- GCF of 13722 and 13740
- GCF of 13722 and 13741
- GCF of 13722 and 13742