What is the Greatest Common Factor of 90045 and 90056?

Greatest common factor (GCF) of 90045 and 90056 is 1.

GCF(90045,90056) = 1

We will now calculate the prime factors of 90045 and 90056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90045 and 90056.

How to find the GCF of 90045 and 90056?

We will first find the prime factorization of 90045 and 90056. After we will calculate the factors of 90045 and 90056 and find the biggest common factor number .

Step-1: Prime Factorization of 90045

Prime factors of 90045 are 3, 5, 23, 29. Prime factorization of 90045 in exponential form is:

90045 = 3³ × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 90056

Prime factors of 90056 are 2, 11257. Prime factorization of 90056 in exponential form is:

90056 = 2³ × 11257¹

Step-3: Factors of 90045

List of positive integer factors of 90045 that divides 90045 without a remainder.

1, 3, 5, 9, 15, 23, 27, 29, 45, 69, 87, 115, 135, 145, 207, 261, 345, 435, 621, 667, 783, 1035, 1305, 2001, 3105, 3335, 3915, 6003, 10005, 18009, 30015

Step-4: Factors of 90056

List of positive integer factors of 90056 that divides 90045 without a remainder.

1, 2, 4, 8, 11257, 22514, 45028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90045 and 90056. The biggest common factor number is the GCF number.
So the greatest common factor 90045 and 90056 is 1.

Also check out the Least Common Multiple of 90045 and 90056