What is the Greatest Common Factor of 13755 and 13759?
Greatest common factor (GCF) of 13755 and 13759 is 1.
GCF(13755,13759) = 1
We will now calculate the prime factors of 13755 and 13759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13755 and 13759.
How to find the GCF of 13755 and 13759?
We will first find the prime factorization of 13755 and 13759. After we will calculate the factors of 13755 and 13759 and find the biggest common factor number .
Step-1: Prime Factorization of 13755
Prime factors of 13755 are 3, 5, 7, 131. Prime factorization of 13755 in exponential form is:
13755 = 31 × 51 × 71 × 1311
Step-2: Prime Factorization of 13759
Prime factors of 13759 are 13759. Prime factorization of 13759 in exponential form is:
13759 = 137591
Step-3: Factors of 13755
List of positive integer factors of 13755 that divides 13755 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105, 131, 393, 655, 917, 1965, 2751, 4585
Step-4: Factors of 13759
List of positive integer factors of 13759 that divides 13755 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13755 and 13759. The biggest common factor number is the GCF number.
So the greatest common factor 13755 and 13759 is 1.
Also check out the Least Common Multiple of 13755 and 13759
Related Greatest Common Factors of 13755
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Related Greatest Common Factors of 13759
- GCF of 13759 and 13763
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- GCF of 13759 and 13765
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- GCF of 13759 and 13774
- GCF of 13759 and 13775
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