What is the Greatest Common Factor of 15440 and 15456?

Greatest common factor (GCF) of 15440 and 15456 is 16.

GCF(15440,15456) = 16

We will now calculate the prime factors of 15440 and 15456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15440 and 15456.

How to find the GCF of 15440 and 15456?

We will first find the prime factorization of 15440 and 15456. After we will calculate the factors of 15440 and 15456 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 15456

Prime factors of 15456 are 2, 3, 7, 23. Prime factorization of 15456 in exponential form is:

15456 = 2⁵ × 3¹ × 7¹ × 23¹

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 15456

List of positive integer factors of 15456 that divides 15440 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 32, 42, 46, 48, 56, 69, 84, 92, 96, 112, 138, 161, 168, 184, 224, 276, 322, 336, 368, 483, 552, 644, 672, 736, 966, 1104, 1288, 1932, 2208, 2576, 3864, 5152, 7728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15440 and 15456. The biggest common factor number is the GCF number.
So the greatest common factor 15440 and 15456 is 16.

Also check out the Least Common Multiple of 15440 and 15456