What is the Greatest Common Factor of 90045 and 90052?

Greatest common factor (GCF) of 90045 and 90052 is 1.

GCF(90045,90052) = 1

We will now calculate the prime factors of 90045 and 90052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90045 and 90052.

How to find the GCF of 90045 and 90052?

We will first find the prime factorization of 90045 and 90052. After we will calculate the factors of 90045 and 90052 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 90052

Prime factors of 90052 are 2, 47, 479. Prime factorization of 90052 in exponential form is:

90052 = 2² × 47¹ × 479¹

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 90052

List of positive integer factors of 90052 that divides 90045 without a remainder.

1, 2, 4, 47, 94, 188, 479, 958, 1916, 22513, 45026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90045 and 90052. The biggest common factor number is the GCF number.
So the greatest common factor 90045 and 90052 is 1.

Also check out the Least Common Multiple of 90045 and 90052