What is the Greatest Common Factor of 13171 and 13176?
Greatest common factor (GCF) of 13171 and 13176 is 1.
GCF(13171,13176) = 1
We will now calculate the prime factors of 13171 and 13176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13171 and 13176.
How to find the GCF of 13171 and 13176?
We will first find the prime factorization of 13171 and 13176. After we will calculate the factors of 13171 and 13176 and find the biggest common factor number .
Step-1: Prime Factorization of 13171
Prime factors of 13171 are 13171. Prime factorization of 13171 in exponential form is:
13171 = 131711
Step-2: Prime Factorization of 13176
Prime factors of 13176 are 2, 3, 61. Prime factorization of 13176 in exponential form is:
13176 = 23 × 33 × 611
Step-3: Factors of 13171
List of positive integer factors of 13171 that divides 13171 without a remainder.
1
Step-4: Factors of 13176
List of positive integer factors of 13176 that divides 13171 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 61, 72, 108, 122, 183, 216, 244, 366, 488, 549, 732, 1098, 1464, 1647, 2196, 3294, 4392, 6588
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13171 and 13176. The biggest common factor number is the GCF number.
So the greatest common factor 13171 and 13176 is 1.
Also check out the Least Common Multiple of 13171 and 13176
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