What is the Greatest Common Factor of 45513 and 45526?

Greatest common factor (GCF) of 45513 and 45526 is 13.

GCF(45513,45526) = 13

We will now calculate the prime factors of 45513 and 45526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45513 and 45526.

How to find the GCF of 45513 and 45526?

We will first find the prime factorization of 45513 and 45526. After we will calculate the factors of 45513 and 45526 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 45526

Prime factors of 45526 are 2, 13, 17, 103. Prime factorization of 45526 in exponential form is:

45526 = 2¹ × 13¹ × 17¹ × 103¹

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 45526

List of positive integer factors of 45526 that divides 45513 without a remainder.

1, 2, 13, 17, 26, 34, 103, 206, 221, 442, 1339, 1751, 2678, 3502, 22763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45513 and 45526. The biggest common factor number is the GCF number.
So the greatest common factor 45513 and 45526 is 13.

Also check out the Least Common Multiple of 45513 and 45526