What is the Greatest Common Factor of 45344 and 45353?

Greatest common factor (GCF) of 45344 and 45353 is 1.

GCF(45344,45353) = 1

We will now calculate the prime factors of 45344 and 45353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45344 and 45353.

How to find the GCF of 45344 and 45353?

We will first find the prime factorization of 45344 and 45353. After we will calculate the factors of 45344 and 45353 and find the biggest common factor number .

Step-1: Prime Factorization of 45344

Prime factors of 45344 are 2, 13, 109. Prime factorization of 45344 in exponential form is:

45344 = 2⁵ × 13¹ × 109¹

Step-2: Prime Factorization of 45353

Prime factors of 45353 are 7, 11, 19, 31. Prime factorization of 45353 in exponential form is:

45353 = 7¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 45344

List of positive integer factors of 45344 that divides 45344 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 109, 208, 218, 416, 436, 872, 1417, 1744, 2834, 3488, 5668, 11336, 22672

Step-4: Factors of 45353

List of positive integer factors of 45353 that divides 45344 without a remainder.

1, 7, 11, 19, 31, 77, 133, 209, 217, 341, 589, 1463, 2387, 4123, 6479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45344 and 45353. The biggest common factor number is the GCF number.
So the greatest common factor 45344 and 45353 is 1.

Also check out the Least Common Multiple of 45344 and 45353