What is the Greatest Common Factor of 94374 and 94388?

Greatest common factor (GCF) of 94374 and 94388 is 14.

GCF(94374,94388) = 14

We will now calculate the prime factors of 94374 and 94388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94374 and 94388.

How to find the GCF of 94374 and 94388?

We will first find the prime factorization of 94374 and 94388. After we will calculate the factors of 94374 and 94388 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 94388

Prime factors of 94388 are 2, 7, 3371. Prime factorization of 94388 in exponential form is:

94388 = 2² × 7¹ × 3371¹

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 94388

List of positive integer factors of 94388 that divides 94374 without a remainder.

1, 2, 4, 7, 14, 28, 3371, 6742, 13484, 23597, 47194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94374 and 94388. The biggest common factor number is the GCF number.
So the greatest common factor 94374 and 94388 is 14.

Also check out the Least Common Multiple of 94374 and 94388