What is the Greatest Common Factor of 45510 and 45523?

Greatest common factor (GCF) of 45510 and 45523 is 1.

GCF(45510,45523) = 1

We will now calculate the prime factors of 45510 and 45523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45510 and 45523.

How to find the GCF of 45510 and 45523?

We will first find the prime factorization of 45510 and 45523. After we will calculate the factors of 45510 and 45523 and find the biggest common factor number .

Step-1: Prime Factorization of 45510

Prime factors of 45510 are 2, 3, 5, 37, 41. Prime factorization of 45510 in exponential form is:

45510 = 2¹ × 3¹ × 5¹ × 37¹ × 41¹

Step-2: Prime Factorization of 45523

Prime factors of 45523 are 45523. Prime factorization of 45523 in exponential form is:

45523 = 45523¹

Step-3: Factors of 45510

List of positive integer factors of 45510 that divides 45510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 41, 74, 82, 111, 123, 185, 205, 222, 246, 370, 410, 555, 615, 1110, 1230, 1517, 3034, 4551, 7585, 9102, 15170, 22755

Step-4: Factors of 45523

List of positive integer factors of 45523 that divides 45510 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45510 and 45523. The biggest common factor number is the GCF number.
So the greatest common factor 45510 and 45523 is 1.

Also check out the Least Common Multiple of 45510 and 45523