What is the Greatest Common Factor of 45056 and 45074?

Greatest common factor (GCF) of 45056 and 45074 is 2.

GCF(45056,45074) = 2

We will now calculate the prime factors of 45056 and 45074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45056 and 45074.

How to find the GCF of 45056 and 45074?

We will first find the prime factorization of 45056 and 45074. After we will calculate the factors of 45056 and 45074 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 45074

Prime factors of 45074 are 2, 31, 727. Prime factorization of 45074 in exponential form is:

45074 = 2¹ × 31¹ × 727¹

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 45074

List of positive integer factors of 45074 that divides 45056 without a remainder.

1, 2, 31, 62, 727, 1454, 22537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45056 and 45074. The biggest common factor number is the GCF number.
So the greatest common factor 45056 and 45074 is 2.

Also check out the Least Common Multiple of 45056 and 45074