What is the Greatest Common Factor of 15331 and 15351?
Greatest common factor (GCF) of 15331 and 15351 is 1.
GCF(15331,15351) = 1
We will now calculate the prime factors of 15331 and 15351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15331 and 15351.
How to find the GCF of 15331 and 15351?
We will first find the prime factorization of 15331 and 15351. After we will calculate the factors of 15331 and 15351 and find the biggest common factor number .
Step-1: Prime Factorization of 15331
Prime factors of 15331 are 15331. Prime factorization of 15331 in exponential form is:
15331 = 153311
Step-2: Prime Factorization of 15351
Prime factors of 15351 are 3, 7, 17, 43. Prime factorization of 15351 in exponential form is:
15351 = 31 × 71 × 171 × 431
Step-3: Factors of 15331
List of positive integer factors of 15331 that divides 15331 without a remainder.
1
Step-4: Factors of 15351
List of positive integer factors of 15351 that divides 15331 without a remainder.
1, 3, 7, 17, 21, 43, 51, 119, 129, 301, 357, 731, 903, 2193, 5117
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15331 and 15351. The biggest common factor number is the GCF number.
So the greatest common factor 15331 and 15351 is 1.
Also check out the Least Common Multiple of 15331 and 15351
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