What is the Greatest Common Factor of 45045 and 45057?

Greatest common factor (GCF) of 45045 and 45057 is 3.

GCF(45045,45057) = 3

We will now calculate the prime factors of 45045 and 45057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45045 and 45057.

How to find the GCF of 45045 and 45057?

We will first find the prime factorization of 45045 and 45057. After we will calculate the factors of 45045 and 45057 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 45057

Prime factors of 45057 are 3, 23, 653. Prime factorization of 45057 in exponential form is:

45057 = 3¹ × 23¹ × 653¹

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 45057

List of positive integer factors of 45057 that divides 45045 without a remainder.

1, 3, 23, 69, 653, 1959, 15019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45045 and 45057. The biggest common factor number is the GCF number.
So the greatest common factor 45045 and 45057 is 3.

Also check out the Least Common Multiple of 45045 and 45057