What is the Greatest Common Factor of 45056 and 45062?

Greatest common factor (GCF) of 45056 and 45062 is 2.

GCF(45056,45062) = 2

We will now calculate the prime factors of 45056 and 45062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45056 and 45062.

How to find the GCF of 45056 and 45062?

We will first find the prime factorization of 45056 and 45062. After we will calculate the factors of 45056 and 45062 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 45062

Prime factors of 45062 are 2, 22531. Prime factorization of 45062 in exponential form is:

45062 = 2¹ × 22531¹

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 45062

List of positive integer factors of 45062 that divides 45056 without a remainder.

1, 2, 22531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45056 and 45062. The biggest common factor number is the GCF number.
So the greatest common factor 45056 and 45062 is 2.

Also check out the Least Common Multiple of 45056 and 45062