What is the Greatest Common Factor of 15867 and 15873?
Greatest common factor (GCF) of 15867 and 15873 is 3.
GCF(15867,15873) = 3
We will now calculate the prime factors of 15867 and 15873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15867 and 15873.
How to find the GCF of 15867 and 15873?
We will first find the prime factorization of 15867 and 15873. After we will calculate the factors of 15867 and 15873 and find the biggest common factor number .
Step-1: Prime Factorization of 15867
Prime factors of 15867 are 3, 41, 43. Prime factorization of 15867 in exponential form is:
15867 = 32 × 411 × 431
Step-2: Prime Factorization of 15873
Prime factors of 15873 are 3, 11, 13, 37. Prime factorization of 15873 in exponential form is:
15873 = 31 × 111 × 131 × 371
Step-3: Factors of 15867
List of positive integer factors of 15867 that divides 15867 without a remainder.
1, 3, 9, 41, 43, 123, 129, 369, 387, 1763, 5289
Step-4: Factors of 15873
List of positive integer factors of 15873 that divides 15867 without a remainder.
1, 3, 11, 13, 33, 37, 39, 111, 143, 407, 429, 481, 1221, 1443, 5291
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15867 and 15873. The biggest common factor number is the GCF number.
So the greatest common factor 15867 and 15873 is 3.
Also check out the Least Common Multiple of 15867 and 15873
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