What is the Greatest Common Factor of 13182 and 13189?
Greatest common factor (GCF) of 13182 and 13189 is 1.
GCF(13182,13189) = 1
We will now calculate the prime factors of 13182 and 13189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13182 and 13189.
How to find the GCF of 13182 and 13189?
We will first find the prime factorization of 13182 and 13189. After we will calculate the factors of 13182 and 13189 and find the biggest common factor number .
Step-1: Prime Factorization of 13182
Prime factors of 13182 are 2, 3, 13. Prime factorization of 13182 in exponential form is:
13182 = 21 × 31 × 133
Step-2: Prime Factorization of 13189
Prime factors of 13189 are 11, 109. Prime factorization of 13189 in exponential form is:
13189 = 112 × 1091
Step-3: Factors of 13182
List of positive integer factors of 13182 that divides 13182 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591
Step-4: Factors of 13189
List of positive integer factors of 13189 that divides 13182 without a remainder.
1, 11, 109, 121, 1199
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13182 and 13189. The biggest common factor number is the GCF number.
So the greatest common factor 13182 and 13189 is 1.
Also check out the Least Common Multiple of 13182 and 13189
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