What is the Greatest Common Factor of 45052 and 45056?

Greatest common factor (GCF) of 45052 and 45056 is 4.

GCF(45052,45056) = 4

We will now calculate the prime factors of 45052 and 45056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45052 and 45056.

How to find the GCF of 45052 and 45056?

We will first find the prime factorization of 45052 and 45056. After we will calculate the factors of 45052 and 45056 and find the biggest common factor number .

Step-1: Prime Factorization of 45052

Prime factors of 45052 are 2, 7, 1609. Prime factorization of 45052 in exponential form is:

45052 = 2² × 7¹ × 1609¹

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 45052

List of positive integer factors of 45052 that divides 45052 without a remainder.

1, 2, 4, 7, 14, 28, 1609, 3218, 6436, 11263, 22526

Step-4: Factors of 45056

List of positive integer factors of 45056 that divides 45052 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 45052 and 45056. The biggest common factor number is the GCF number.
So the greatest common factor 45052 and 45056 is 4.

Also check out the Least Common Multiple of 45052 and 45056