What is the Greatest Common Factor of 63189 and 63206?
Greatest common factor (GCF) of 63189 and 63206 is 17.
GCF(63189,63206) = 17
We will now calculate the prime factors of 63189 and 63206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63189 and 63206.
How to find the GCF of 63189 and 63206?
We will first find the prime factorization of 63189 and 63206. After we will calculate the factors of 63189 and 63206 and find the biggest common factor number .
Step-1: Prime Factorization of 63189
Prime factors of 63189 are 3, 7, 17, 59. Prime factorization of 63189 in exponential form is:
63189 = 32 × 71 × 171 × 591
Step-2: Prime Factorization of 63206
Prime factors of 63206 are 2, 11, 13, 17. Prime factorization of 63206 in exponential form is:
63206 = 21 × 111 × 132 × 171
Step-3: Factors of 63189
List of positive integer factors of 63189 that divides 63189 without a remainder.
1, 3, 7, 9, 17, 21, 51, 59, 63, 119, 153, 177, 357, 413, 531, 1003, 1071, 1239, 3009, 3717, 7021, 9027, 21063
Step-4: Factors of 63206
List of positive integer factors of 63206 that divides 63189 without a remainder.
1, 2, 11, 13, 17, 22, 26, 34, 143, 169, 187, 221, 286, 338, 374, 442, 1859, 2431, 2873, 3718, 4862, 5746, 31603
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 63189 and 63206. The biggest common factor number is the GCF number.
So the greatest common factor 63189 and 63206 is 17.
Also check out the Least Common Multiple of 63189 and 63206
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