What is the Greatest Common Factor of 74424 and 74438?

Greatest common factor (GCF) of 74424 and 74438 is 14.

GCF(74424,74438) = 14

We will now calculate the prime factors of 74424 and 74438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74424 and 74438.

How to find the GCF of 74424 and 74438?

We will first find the prime factorization of 74424 and 74438. After we will calculate the factors of 74424 and 74438 and find the biggest common factor number .

Step-1: Prime Factorization of 74424

Prime factors of 74424 are 2, 3, 7, 443. Prime factorization of 74424 in exponential form is:

74424 = 2³ × 3¹ × 7¹ × 443¹

Step-2: Prime Factorization of 74438

Prime factors of 74438 are 2, 7, 13, 409. Prime factorization of 74438 in exponential form is:

74438 = 2¹ × 7¹ × 13¹ × 409¹

Step-3: Factors of 74424

List of positive integer factors of 74424 that divides 74424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 443, 886, 1329, 1772, 2658, 3101, 3544, 5316, 6202, 9303, 10632, 12404, 18606, 24808, 37212

Step-4: Factors of 74438

List of positive integer factors of 74438 that divides 74424 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 409, 818, 2863, 5317, 5726, 10634, 37219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74424 and 74438. The biggest common factor number is the GCF number.
So the greatest common factor 74424 and 74438 is 14.

Also check out the Least Common Multiple of 74424 and 74438