What is the Greatest Common Factor of 13659 and 13679?
Greatest common factor (GCF) of 13659 and 13679 is 1.
GCF(13659,13679) = 1
We will now calculate the prime factors of 13659 and 13679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13659 and 13679.
How to find the GCF of 13659 and 13679?
We will first find the prime factorization of 13659 and 13679. After we will calculate the factors of 13659 and 13679 and find the biggest common factor number .
Step-1: Prime Factorization of 13659
Prime factors of 13659 are 3, 29, 157. Prime factorization of 13659 in exponential form is:
13659 = 31 × 291 × 1571
Step-2: Prime Factorization of 13679
Prime factors of 13679 are 13679. Prime factorization of 13679 in exponential form is:
13679 = 136791
Step-3: Factors of 13659
List of positive integer factors of 13659 that divides 13659 without a remainder.
1, 3, 29, 87, 157, 471, 4553
Step-4: Factors of 13679
List of positive integer factors of 13679 that divides 13659 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13659 and 13679. The biggest common factor number is the GCF number.
So the greatest common factor 13659 and 13679 is 1.
Also check out the Least Common Multiple of 13659 and 13679
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Related Greatest Common Factors of 13679
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