What is the Greatest Common Factor of 45513 and 45517?

Greatest common factor (GCF) of 45513 and 45517 is 1.

GCF(45513,45517) = 1

We will now calculate the prime factors of 45513 and 45517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45513 and 45517.

How to find the GCF of 45513 and 45517?

We will first find the prime factorization of 45513 and 45517. After we will calculate the factors of 45513 and 45517 and find the biggest common factor number .

Step-1: Prime Factorization of 45513

Prime factors of 45513 are 3, 13, 389. Prime factorization of 45513 in exponential form is:

45513 = 3² × 13¹ × 389¹

Step-2: Prime Factorization of 45517

Prime factors of 45517 are 23, 1979. Prime factorization of 45517 in exponential form is:

45517 = 23¹ × 1979¹

Step-3: Factors of 45513

List of positive integer factors of 45513 that divides 45513 without a remainder.

1, 3, 9, 13, 39, 117, 389, 1167, 3501, 5057, 15171

Step-4: Factors of 45517

List of positive integer factors of 45517 that divides 45513 without a remainder.

1, 23, 1979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45513 and 45517. The biggest common factor number is the GCF number.
So the greatest common factor 45513 and 45517 is 1.

Also check out the Least Common Multiple of 45513 and 45517