What is the Greatest Common Factor of 45045 and 45062?

Greatest common factor (GCF) of 45045 and 45062 is 1.

GCF(45045,45062) = 1

We will now calculate the prime factors of 45045 and 45062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45045 and 45062.

How to find the GCF of 45045 and 45062?

We will first find the prime factorization of 45045 and 45062. After we will calculate the factors of 45045 and 45062 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 45062

Prime factors of 45062 are 2, 22531. Prime factorization of 45062 in exponential form is:

45062 = 2¹ × 22531¹

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 45062

List of positive integer factors of 45062 that divides 45045 without a remainder.

1, 2, 22531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45045 and 45062. The biggest common factor number is the GCF number.
So the greatest common factor 45045 and 45062 is 1.

Also check out the Least Common Multiple of 45045 and 45062