What is the Greatest Common Factor of 20177 and 20196?
Greatest common factor (GCF) of 20177 and 20196 is 1.
GCF(20177,20196) = 1
We will now calculate the prime factors of 20177 and 20196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20177 and 20196.
How to find the GCF of 20177 and 20196?
We will first find the prime factorization of 20177 and 20196. After we will calculate the factors of 20177 and 20196 and find the biggest common factor number .
Step-1: Prime Factorization of 20177
Prime factors of 20177 are 20177. Prime factorization of 20177 in exponential form is:
20177 = 201771
Step-2: Prime Factorization of 20196
Prime factors of 20196 are 2, 3, 11, 17. Prime factorization of 20196 in exponential form is:
20196 = 22 × 33 × 111 × 171
Step-3: Factors of 20177
List of positive integer factors of 20177 that divides 20177 without a remainder.
1
Step-4: Factors of 20196
List of positive integer factors of 20196 that divides 20177 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 27, 33, 34, 36, 44, 51, 54, 66, 68, 99, 102, 108, 132, 153, 187, 198, 204, 297, 306, 374, 396, 459, 561, 594, 612, 748, 918, 1122, 1188, 1683, 1836, 2244, 3366, 5049, 6732, 10098
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20177 and 20196. The biggest common factor number is the GCF number.
So the greatest common factor 20177 and 20196 is 1.
Also check out the Least Common Multiple of 20177 and 20196
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