What is the Greatest Common Factor of 45045 and 45061?

Greatest common factor (GCF) of 45045 and 45061 is 1.

GCF(45045,45061) = 1

We will now calculate the prime factors of 45045 and 45061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45045 and 45061.

How to find the GCF of 45045 and 45061?

We will first find the prime factorization of 45045 and 45061. After we will calculate the factors of 45045 and 45061 and find the biggest common factor number .

Step-1: Prime Factorization of 45045

Prime factors of 45045 are 3, 5, 7, 11, 13. Prime factorization of 45045 in exponential form is:

45045 = 3² × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 45061

Prime factors of 45061 are 45061. Prime factorization of 45061 in exponential form is:

45061 = 45061¹

Step-3: Factors of 45045

List of positive integer factors of 45045 that divides 45045 without a remainder.

1, 3, 5, 7, 9, 11, 13, 15, 21, 33, 35, 39, 45, 55, 63, 65, 77, 91, 99, 105, 117, 143, 165, 195, 231, 273, 315, 385, 429, 455, 495, 585, 693, 715, 819, 1001, 1155, 1287, 1365, 2145, 3003, 3465, 4095, 5005, 6435, 9009, 15015

Step-4: Factors of 45061

List of positive integer factors of 45061 that divides 45045 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45045 and 45061. The biggest common factor number is the GCF number.
So the greatest common factor 45045 and 45061 is 1.

Also check out the Least Common Multiple of 45045 and 45061