What is the Greatest Common Factor of 90045 and 90050?

Greatest common factor (GCF) of 90045 and 90050 is 5.

GCF(90045,90050) = 5

We will now calculate the prime factors of 90045 and 90050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90045 and 90050.

How to find the GCF of 90045 and 90050?

We will first find the prime factorization of 90045 and 90050. After we will calculate the factors of 90045 and 90050 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 90050

Prime factors of 90050 are 2, 5, 1801. Prime factorization of 90050 in exponential form is:

90050 = 2¹ × 5² × 1801¹

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 90050

List of positive integer factors of 90050 that divides 90045 without a remainder.

1, 2, 5, 10, 25, 50, 1801, 3602, 9005, 18010, 45025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90045 and 90050. The biggest common factor number is the GCF number.
So the greatest common factor 90045 and 90050 is 5.

Also check out the Least Common Multiple of 90045 and 90050