What is the Greatest Common Factor of 94701 and 94710?
Greatest common factor (GCF) of 94701 and 94710 is 3.
GCF(94701,94710) = 3
We will now calculate the prime factors of 94701 and 94710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94701 and 94710.
How to find the GCF of 94701 and 94710?
We will first find the prime factorization of 94701 and 94710. After we will calculate the factors of 94701 and 94710 and find the biggest common factor number .
Step-1: Prime Factorization of 94701
Prime factors of 94701 are 3, 31567. Prime factorization of 94701 in exponential form is:
94701 = 31 × 315671
Step-2: Prime Factorization of 94710
Prime factors of 94710 are 2, 3, 5, 7, 11, 41. Prime factorization of 94710 in exponential form is:
94710 = 21 × 31 × 51 × 71 × 111 × 411
Step-3: Factors of 94701
List of positive integer factors of 94701 that divides 94701 without a remainder.
1, 3, 31567
Step-4: Factors of 94710
List of positive integer factors of 94710 that divides 94701 without a remainder.
1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 41, 42, 55, 66, 70, 77, 82, 105, 110, 123, 154, 165, 205, 210, 231, 246, 287, 330, 385, 410, 451, 462, 574, 615, 770, 861, 902, 1155, 1230, 1353, 1435, 1722, 2255, 2310, 2706, 2870, 3157, 4305, 4510, 6314, 6765, 8610, 9471, 13530, 15785, 18942, 31570, 47355
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 94701 and 94710. The biggest common factor number is the GCF number.
So the greatest common factor 94701 and 94710 is 3.
Also check out the Least Common Multiple of 94701 and 94710
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