What is the Greatest Common Factor of 15040 and 15056?

Greatest common factor (GCF) of 15040 and 15056 is 16.

GCF(15040,15056) = 16

We will now calculate the prime factors of 15040 and 15056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15040 and 15056.

How to find the GCF of 15040 and 15056?

We will first find the prime factorization of 15040 and 15056. After we will calculate the factors of 15040 and 15056 and find the biggest common factor number .

Step-1: Prime Factorization of 15040

Prime factors of 15040 are 2, 5, 47. Prime factorization of 15040 in exponential form is:

15040 = 2⁶ × 5¹ × 47¹

Step-2: Prime Factorization of 15056

Prime factors of 15056 are 2, 941. Prime factorization of 15056 in exponential form is:

15056 = 2⁴ × 941¹

Step-3: Factors of 15040

List of positive integer factors of 15040 that divides 15040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 160, 188, 235, 320, 376, 470, 752, 940, 1504, 1880, 3008, 3760, 7520

Step-4: Factors of 15056

List of positive integer factors of 15056 that divides 15040 without a remainder.

1, 2, 4, 8, 16, 941, 1882, 3764, 7528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15040 and 15056. The biggest common factor number is the GCF number.
So the greatest common factor 15040 and 15056 is 16.

Also check out the Least Common Multiple of 15040 and 15056