What is the Greatest Common Factor of 94365 and 94374?

Greatest common factor (GCF) of 94365 and 94374 is 9.

GCF(94365,94374) = 9

We will now calculate the prime factors of 94365 and 94374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94365 and 94374.

How to find the GCF of 94365 and 94374?

We will first find the prime factorization of 94365 and 94374. After we will calculate the factors of 94365 and 94374 and find the biggest common factor number .

Step-1: Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 3⁴ × 5¹ × 233¹

Step-2: Prime Factorization of 94374

Prime factors of 94374 are 2, 3, 7, 107. Prime factorization of 94374 in exponential form is:

94374 = 2¹ × 3² × 7² × 107¹

Step-3: Factors of 94365

List of positive integer factors of 94365 that divides 94365 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 233, 405, 699, 1165, 2097, 3495, 6291, 10485, 18873, 31455

Step-4: Factors of 94374

List of positive integer factors of 94374 that divides 94365 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 107, 126, 147, 214, 294, 321, 441, 642, 749, 882, 963, 1498, 1926, 2247, 4494, 5243, 6741, 10486, 13482, 15729, 31458, 47187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94365 and 94374. The biggest common factor number is the GCF number.
So the greatest common factor 94365 and 94374 is 9.

Also check out the Least Common Multiple of 94365 and 94374