What is the Greatest Common Factor of 93198 and 93210?
Greatest common factor (GCF) of 93198 and 93210 is 6.
GCF(93198,93210) = 6
We will now calculate the prime factors of 93198 and 93210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93198 and 93210.
How to find the GCF of 93198 and 93210?
We will first find the prime factorization of 93198 and 93210. After we will calculate the factors of 93198 and 93210 and find the biggest common factor number .
Step-1: Prime Factorization of 93198
Prime factors of 93198 are 2, 3, 7, 317. Prime factorization of 93198 in exponential form is:
93198 = 21 × 31 × 72 × 3171
Step-2: Prime Factorization of 93210
Prime factors of 93210 are 2, 3, 5, 13, 239. Prime factorization of 93210 in exponential form is:
93210 = 21 × 31 × 51 × 131 × 2391
Step-3: Factors of 93198
List of positive integer factors of 93198 that divides 93198 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 317, 634, 951, 1902, 2219, 4438, 6657, 13314, 15533, 31066, 46599
Step-4: Factors of 93210
List of positive integer factors of 93210 that divides 93198 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 239, 390, 478, 717, 1195, 1434, 2390, 3107, 3585, 6214, 7170, 9321, 15535, 18642, 31070, 46605
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 93198 and 93210. The biggest common factor number is the GCF number.
So the greatest common factor 93198 and 93210 is 6.
Also check out the Least Common Multiple of 93198 and 93210
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