What is the Greatest Common Factor of 15339 and 15358?
Greatest common factor (GCF) of 15339 and 15358 is 1.
GCF(15339,15358) = 1
We will now calculate the prime factors of 15339 and 15358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15339 and 15358.
How to find the GCF of 15339 and 15358?
We will first find the prime factorization of 15339 and 15358. After we will calculate the factors of 15339 and 15358 and find the biggest common factor number .
Step-1: Prime Factorization of 15339
Prime factors of 15339 are 3, 5113. Prime factorization of 15339 in exponential form is:
15339 = 31 × 51131
Step-2: Prime Factorization of 15358
Prime factors of 15358 are 2, 7, 1097. Prime factorization of 15358 in exponential form is:
15358 = 21 × 71 × 10971
Step-3: Factors of 15339
List of positive integer factors of 15339 that divides 15339 without a remainder.
1, 3, 5113
Step-4: Factors of 15358
List of positive integer factors of 15358 that divides 15339 without a remainder.
1, 2, 7, 14, 1097, 2194, 7679
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15339 and 15358. The biggest common factor number is the GCF number.
So the greatest common factor 15339 and 15358 is 1.
Also check out the Least Common Multiple of 15339 and 15358
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