What is the Greatest Common Factor of 74432 and 74436?

Greatest common factor (GCF) of 74432 and 74436 is 4.

GCF(74432,74436) = 4

We will now calculate the prime factors of 74432 and 74436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74432 and 74436.

How to find the GCF of 74432 and 74436?

We will first find the prime factorization of 74432 and 74436. After we will calculate the factors of 74432 and 74436 and find the biggest common factor number .

Step-1: Prime Factorization of 74432

Prime factors of 74432 are 2, 1163. Prime factorization of 74432 in exponential form is:

74432 = 2⁶ × 1163¹

Step-2: 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-3: Factors of 74432

List of positive integer factors of 74432 that divides 74432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1163, 2326, 4652, 9304, 18608, 37216

Step-4: Factors of 74436

List of positive integer factors of 74436 that divides 74432 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74432 and 74436. The biggest common factor number is the GCF number.
So the greatest common factor 74432 and 74436 is 4.

Also check out the Least Common Multiple of 74432 and 74436