What is the Greatest Common Factor of 45296 and 45309?

Greatest common factor (GCF) of 45296 and 45309 is 1.

GCF(45296,45309) = 1

We will now calculate the prime factors of 45296 and 45309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45296 and 45309.

How to find the GCF of 45296 and 45309?

We will first find the prime factorization of 45296 and 45309. After we will calculate the factors of 45296 and 45309 and find the biggest common factor number .

Step-1: Prime Factorization of 45296

Prime factors of 45296 are 2, 19, 149. Prime factorization of 45296 in exponential form is:

45296 = 2⁴ × 19¹ × 149¹

Step-2: Prime Factorization of 45309

Prime factors of 45309 are 3, 11, 1373. Prime factorization of 45309 in exponential form is:

45309 = 3¹ × 11¹ × 1373¹

Step-3: Factors of 45296

List of positive integer factors of 45296 that divides 45296 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 149, 152, 298, 304, 596, 1192, 2384, 2831, 5662, 11324, 22648

Step-4: Factors of 45309

List of positive integer factors of 45309 that divides 45296 without a remainder.

1, 3, 11, 33, 1373, 4119, 15103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45296 and 45309. The biggest common factor number is the GCF number.
So the greatest common factor 45296 and 45309 is 1.

Also check out the Least Common Multiple of 45296 and 45309