What is the Greatest Common Factor of 12975 and 12987?
Greatest common factor (GCF) of 12975 and 12987 is 3.
GCF(12975,12987) = 3
We will now calculate the prime factors of 12975 and 12987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12975 and 12987.
How to find the GCF of 12975 and 12987?
We will first find the prime factorization of 12975 and 12987. After we will calculate the factors of 12975 and 12987 and find the biggest common factor number .
Step-1: Prime Factorization of 12975
Prime factors of 12975 are 3, 5, 173. Prime factorization of 12975 in exponential form is:
12975 = 31 × 52 × 1731
Step-2: Prime Factorization of 12987
Prime factors of 12987 are 3, 13, 37. Prime factorization of 12987 in exponential form is:
12987 = 33 × 131 × 371
Step-3: Factors of 12975
List of positive integer factors of 12975 that divides 12975 without a remainder.
1, 3, 5, 15, 25, 75, 173, 519, 865, 2595, 4325
Step-4: Factors of 12987
List of positive integer factors of 12987 that divides 12975 without a remainder.
1, 3, 9, 13, 27, 37, 39, 111, 117, 333, 351, 481, 999, 1443, 4329
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12975 and 12987. The biggest common factor number is the GCF number.
So the greatest common factor 12975 and 12987 is 3.
Also check out the Least Common Multiple of 12975 and 12987
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