What is the Greatest Common Factor of 74435 and 74440?

Greatest common factor (GCF) of 74435 and 74440 is 5.

GCF(74435,74440) = 5

We will now calculate the prime factors of 74435 and 74440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74435 and 74440.

How to find the GCF of 74435 and 74440?

We will first find the prime factorization of 74435 and 74440. After we will calculate the factors of 74435 and 74440 and find the biggest common factor number .

Step-1: Prime Factorization of 74435

Prime factors of 74435 are 5, 14887. Prime factorization of 74435 in exponential form is:

74435 = 5¹ × 14887¹

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 74435

List of positive integer factors of 74435 that divides 74435 without a remainder.

1, 5, 14887

Step-4: Factors of 74440

List of positive integer factors of 74440 that divides 74435 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 74435 and 74440. The biggest common factor number is the GCF number.
So the greatest common factor 74435 and 74440 is 5.

Also check out the Least Common Multiple of 74435 and 74440