What is the Greatest Common Factor of 45056 and 45067?

Greatest common factor (GCF) of 45056 and 45067 is 11.

GCF(45056,45067) = 11

We will now calculate the prime factors of 45056 and 45067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45056 and 45067.

How to find the GCF of 45056 and 45067?

We will first find the prime factorization of 45056 and 45067. After we will calculate the factors of 45056 and 45067 and find the biggest common factor number .

Step-1: Prime Factorization of 45056

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

45056 = 2¹² × 11¹

Step-2: Prime Factorization of 45067

Prime factors of 45067 are 11, 17, 241. Prime factorization of 45067 in exponential form is:

45067 = 11¹ × 17¹ × 241¹

Step-3: Factors of 45056

List of positive integer factors of 45056 that divides 45056 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

Step-4: Factors of 45067

List of positive integer factors of 45067 that divides 45056 without a remainder.

1, 11, 17, 187, 241, 2651, 4097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45056 and 45067. The biggest common factor number is the GCF number.
So the greatest common factor 45056 and 45067 is 11.

Also check out the Least Common Multiple of 45056 and 45067