What is the Greatest Common Factor of 94374 and 94389?

Greatest common factor (GCF) of 94374 and 94389 is 3.

GCF(94374,94389) = 3

We will now calculate the prime factors of 94374 and 94389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94374 and 94389.

How to find the GCF of 94374 and 94389?

We will first find the prime factorization of 94374 and 94389. After we will calculate the factors of 94374 and 94389 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94389

Prime factors of 94389 are 3, 73, 431. Prime factorization of 94389 in exponential form is:

94389 = 3¹ × 73¹ × 431¹

Step-3: Factors of 94374

List of positive integer factors of 94374 that divides 94374 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

Step-4: Factors of 94389

List of positive integer factors of 94389 that divides 94374 without a remainder.

1, 3, 73, 219, 431, 1293, 31463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94374 and 94389. The biggest common factor number is the GCF number.
So the greatest common factor 94374 and 94389 is 3.

Also check out the Least Common Multiple of 94374 and 94389