What is the Greatest Common Factor of 94374 and 94382?

Greatest common factor (GCF) of 94374 and 94382 is 2.

GCF(94374,94382) = 2

We will now calculate the prime factors of 94374 and 94382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94374 and 94382.

How to find the GCF of 94374 and 94382?

We will first find the prime factorization of 94374 and 94382. After we will calculate the factors of 94374 and 94382 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 94382

Prime factors of 94382 are 2, 41, 1151. Prime factorization of 94382 in exponential form is:

94382 = 2¹ × 41¹ × 1151¹

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 94382

List of positive integer factors of 94382 that divides 94374 without a remainder.

1, 2, 41, 82, 1151, 2302, 47191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94374 and 94382. The biggest common factor number is the GCF number.
So the greatest common factor 94374 and 94382 is 2.

Also check out the Least Common Multiple of 94374 and 94382