What is the Greatest Common Factor of 15141 and 15159?
Greatest common factor (GCF) of 15141 and 15159 is 3.
GCF(15141,15159) = 3
We will now calculate the prime factors of 15141 and 15159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15141 and 15159.
How to find the GCF of 15141 and 15159?
We will first find the prime factorization of 15141 and 15159. After we will calculate the factors of 15141 and 15159 and find the biggest common factor number .
Step-1: Prime Factorization of 15141
Prime factors of 15141 are 3, 7, 103. Prime factorization of 15141 in exponential form is:
15141 = 31 × 72 × 1031
Step-2: Prime Factorization of 15159
Prime factors of 15159 are 3, 31, 163. Prime factorization of 15159 in exponential form is:
15159 = 31 × 311 × 1631
Step-3: Factors of 15141
List of positive integer factors of 15141 that divides 15141 without a remainder.
1, 3, 7, 21, 49, 103, 147, 309, 721, 2163, 5047
Step-4: Factors of 15159
List of positive integer factors of 15159 that divides 15141 without a remainder.
1, 3, 31, 93, 163, 489, 5053
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15141 and 15159. The biggest common factor number is the GCF number.
So the greatest common factor 15141 and 15159 is 3.
Also check out the Least Common Multiple of 15141 and 15159
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