What is the Greatest Common Factor of 45296 and 45315?

Greatest common factor (GCF) of 45296 and 45315 is 19.

GCF(45296,45315) = 19

We will now calculate the prime factors of 45296 and 45315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45296 and 45315.

How to find the GCF of 45296 and 45315?

We will first find the prime factorization of 45296 and 45315. After we will calculate the factors of 45296 and 45315 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 45315

Prime factors of 45315 are 3, 5, 19, 53. Prime factorization of 45315 in exponential form is:

45315 = 3² × 5¹ × 19¹ × 53¹

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 45315

List of positive integer factors of 45315 that divides 45296 without a remainder.

1, 3, 5, 9, 15, 19, 45, 53, 57, 95, 159, 171, 265, 285, 477, 795, 855, 1007, 2385, 3021, 5035, 9063, 15105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45296 and 45315. The biggest common factor number is the GCF number.
So the greatest common factor 45296 and 45315 is 19.

Also check out the Least Common Multiple of 45296 and 45315