What is the Greatest Common Factor of 74436 and 74440?

Greatest common factor (GCF) of 74436 and 74440 is 4.

GCF(74436,74440) = 4

We will now calculate the prime factors of 74436 and 74440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74436 and 74440.

How to find the GCF of 74436 and 74440?

We will first find the prime factorization of 74436 and 74440. After we will calculate the factors of 74436 and 74440 and find the biggest common factor number .

Step-1: Prime Factorization of 74436

Prime factors of 74436 are 2, 3, 6203. Prime factorization of 74436 in exponential form is:

74436 = 2² × 3¹ × 6203¹

Step-2: Prime Factorization of 74440

Prime factors of 74440 are 2, 5, 1861. Prime factorization of 74440 in exponential form is:

74440 = 2³ × 5¹ × 1861¹

Step-3: Factors of 74436

List of positive integer factors of 74436 that divides 74436 without a remainder.

1, 2, 3, 4, 6, 12, 6203, 12406, 18609, 24812, 37218

Step-4: Factors of 74440

List of positive integer factors of 74440 that divides 74436 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1861, 3722, 7444, 9305, 14888, 18610, 37220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74436 and 74440. The biggest common factor number is the GCF number.
So the greatest common factor 74436 and 74440 is 4.

Also check out the Least Common Multiple of 74436 and 74440