What is the Greatest Common Factor of 94424 and 94438?

Greatest common factor (GCF) of 94424 and 94438 is 2.

GCF(94424,94438) = 2

We will now calculate the prime factors of 94424 and 94438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94424 and 94438.

How to find the GCF of 94424 and 94438?

We will first find the prime factorization of 94424 and 94438. After we will calculate the factors of 94424 and 94438 and find the biggest common factor number .

Step-1: Prime Factorization of 94424

Prime factors of 94424 are 2, 11, 29, 37. Prime factorization of 94424 in exponential form is:

94424 = 2³ × 11¹ × 29¹ × 37¹

Step-2: Prime Factorization of 94438

Prime factors of 94438 are 2, 23, 2053. Prime factorization of 94438 in exponential form is:

94438 = 2¹ × 23¹ × 2053¹

Step-3: Factors of 94424

List of positive integer factors of 94424 that divides 94424 without a remainder.

1, 2, 4, 8, 11, 22, 29, 37, 44, 58, 74, 88, 116, 148, 232, 296, 319, 407, 638, 814, 1073, 1276, 1628, 2146, 2552, 3256, 4292, 8584, 11803, 23606, 47212

Step-4: Factors of 94438

List of positive integer factors of 94438 that divides 94424 without a remainder.

1, 2, 23, 46, 2053, 4106, 47219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94424 and 94438. The biggest common factor number is the GCF number.
So the greatest common factor 94424 and 94438 is 2.

Also check out the Least Common Multiple of 94424 and 94438