What is the Greatest Common Factor of 45045 and 45058?

Greatest common factor (GCF) of 45045 and 45058 is 13.

GCF(45045,45058) = 13

We will now calculate the prime factors of 45045 and 45058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45045 and 45058.

How to find the GCF of 45045 and 45058?

We will first find the prime factorization of 45045 and 45058. After we will calculate the factors of 45045 and 45058 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 45058

Prime factors of 45058 are 2, 13, 1733. Prime factorization of 45058 in exponential form is:

45058 = 2¹ × 13¹ × 1733¹

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 45058

List of positive integer factors of 45058 that divides 45045 without a remainder.

1, 2, 13, 26, 1733, 3466, 22529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45045 and 45058. The biggest common factor number is the GCF number.
So the greatest common factor 45045 and 45058 is 13.

Also check out the Least Common Multiple of 45045 and 45058