What is the Greatest Common Factor of 71177 and 71196?
Greatest common factor (GCF) of 71177 and 71196 is 1.
GCF(71177,71196) = 1
We will now calculate the prime factors of 71177 and 71196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71177 and 71196.
How to find the GCF of 71177 and 71196?
We will first find the prime factorization of 71177 and 71196. After we will calculate the factors of 71177 and 71196 and find the biggest common factor number .
Step-1: Prime Factorization of 71177
Prime factors of 71177 are 109, 653. Prime factorization of 71177 in exponential form is:
71177 = 1091 × 6531
Step-2: Prime Factorization of 71196
Prime factors of 71196 are 2, 3, 17, 349. Prime factorization of 71196 in exponential form is:
71196 = 22 × 31 × 171 × 3491
Step-3: Factors of 71177
List of positive integer factors of 71177 that divides 71177 without a remainder.
1, 109, 653
Step-4: Factors of 71196
List of positive integer factors of 71196 that divides 71177 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 349, 698, 1047, 1396, 2094, 4188, 5933, 11866, 17799, 23732, 35598
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71177 and 71196. The biggest common factor number is the GCF number.
So the greatest common factor 71177 and 71196 is 1.
Also check out the Least Common Multiple of 71177 and 71196
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