What is the Greatest Common Factor of 18435 and 18440?

Greatest common factor (GCF) of 18435 and 18440 is 5.

GCF(18435,18440) = 5

We will now calculate the prime factors of 18435 and 18440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18435 and 18440.

How to find the GCF of 18435 and 18440?

We will first find the prime factorization of 18435 and 18440. After we will calculate the factors of 18435 and 18440 and find the biggest common factor number .

Step-1: Prime Factorization of 18435

Prime factors of 18435 are 3, 5, 1229. Prime factorization of 18435 in exponential form is:

18435 = 3¹ × 5¹ × 1229¹

Step-2: Prime Factorization of 18440

Prime factors of 18440 are 2, 5, 461. Prime factorization of 18440 in exponential form is:

18440 = 2³ × 5¹ × 461¹

Step-3: Factors of 18435

List of positive integer factors of 18435 that divides 18435 without a remainder.

1, 3, 5, 15, 1229, 3687, 6145

Step-4: Factors of 18440

List of positive integer factors of 18440 that divides 18435 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 461, 922, 1844, 2305, 3688, 4610, 9220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18435 and 18440. The biggest common factor number is the GCF number.
So the greatest common factor 18435 and 18440 is 5.

Also check out the Least Common Multiple of 18435 and 18440