What is the Greatest Common Factor of 12991 and 12997?
Greatest common factor (GCF) of 12991 and 12997 is 1.
GCF(12991,12997) = 1
We will now calculate the prime factors of 12991 and 12997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12991 and 12997.
How to find the GCF of 12991 and 12997?
We will first find the prime factorization of 12991 and 12997. After we will calculate the factors of 12991 and 12997 and find the biggest common factor number .
Step-1: Prime Factorization of 12991
Prime factors of 12991 are 11, 1181. Prime factorization of 12991 in exponential form is:
12991 = 111 × 11811
Step-2: Prime Factorization of 12997
Prime factors of 12997 are 41, 317. Prime factorization of 12997 in exponential form is:
12997 = 411 × 3171
Step-3: Factors of 12991
List of positive integer factors of 12991 that divides 12991 without a remainder.
1, 11, 1181
Step-4: Factors of 12997
List of positive integer factors of 12997 that divides 12991 without a remainder.
1, 41, 317
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12991 and 12997. The biggest common factor number is the GCF number.
So the greatest common factor 12991 and 12997 is 1.
Also check out the Least Common Multiple of 12991 and 12997
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