What is the Greatest Common Factor of 15435 and 15440?

Greatest common factor (GCF) of 15435 and 15440 is 5.

GCF(15435,15440) = 5

We will now calculate the prime factors of 15435 and 15440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15435 and 15440.

How to find the GCF of 15435 and 15440?

We will first find the prime factorization of 15435 and 15440. After we will calculate the factors of 15435 and 15440 and find the biggest common factor number .

Step-1: Prime Factorization of 15435

Prime factors of 15435 are 3, 5, 7. Prime factorization of 15435 in exponential form is:

15435 = 3² × 5¹ × 7³

Step-2: Prime Factorization of 15440

Prime factors of 15440 are 2, 5, 193. Prime factorization of 15440 in exponential form is:

15440 = 2⁴ × 5¹ × 193¹

Step-3: Factors of 15435

List of positive integer factors of 15435 that divides 15435 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 343, 441, 735, 1029, 1715, 2205, 3087, 5145

Step-4: Factors of 15440

List of positive integer factors of 15440 that divides 15435 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 193, 386, 772, 965, 1544, 1930, 3088, 3860, 7720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15435 and 15440. The biggest common factor number is the GCF number.
So the greatest common factor 15435 and 15440 is 5.

Also check out the Least Common Multiple of 15435 and 15440