What is the Greatest Common Factor of 45040 and 45056?

Greatest common factor (GCF) of 45040 and 45056 is 16.

GCF(45040,45056) = 16

We will now calculate the prime factors of 45040 and 45056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45040 and 45056.

How to find the GCF of 45040 and 45056?

We will first find the prime factorization of 45040 and 45056. After we will calculate the factors of 45040 and 45056 and find the biggest common factor number .

Step-1: Prime Factorization of 45040

Prime factors of 45040 are 2, 5, 563. Prime factorization of 45040 in exponential form is:

45040 = 2⁴ × 5¹ × 563¹

Step-2: Prime Factorization of 45056

Prime factors of 45056 are 2, 11. Prime factorization of 45056 in exponential form is:

45056 = 2¹² × 11¹

Step-3: Factors of 45040

List of positive integer factors of 45040 that divides 45040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 563, 1126, 2252, 2815, 4504, 5630, 9008, 11260, 22520

Step-4: Factors of 45056

List of positive integer factors of 45056 that divides 45040 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2048, 2816, 4096, 5632, 11264, 22528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45040 and 45056. The biggest common factor number is the GCF number.
So the greatest common factor 45040 and 45056 is 16.

Also check out the Least Common Multiple of 45040 and 45056