What is the Greatest Common Factor of 15440 and 15460?

Greatest common factor (GCF) of 15440 and 15460 is 20.

GCF(15440,15460) = 20

We will now calculate the prime factors of 15440 and 15460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15440 and 15460.

How to find the GCF of 15440 and 15460?

We will first find the prime factorization of 15440 and 15460. After we will calculate the factors of 15440 and 15460 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15460

Prime factors of 15460 are 2, 5, 773. Prime factorization of 15460 in exponential form is:

15460 = 2² × 5¹ × 773¹

Step-3: Factors of 15440

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

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

Step-4: Factors of 15460

List of positive integer factors of 15460 that divides 15440 without a remainder.

1, 2, 4, 5, 10, 20, 773, 1546, 3092, 3865, 7730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15440 and 15460. The biggest common factor number is the GCF number.
So the greatest common factor 15440 and 15460 is 20.

Also check out the Least Common Multiple of 15440 and 15460