What is the Greatest Common Factor of 45280 and 45296?

Greatest common factor (GCF) of 45280 and 45296 is 16.

GCF(45280,45296) = 16

We will now calculate the prime factors of 45280 and 45296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45280 and 45296.

How to find the GCF of 45280 and 45296?

We will first find the prime factorization of 45280 and 45296. After we will calculate the factors of 45280 and 45296 and find the biggest common factor number .

Step-1: Prime Factorization of 45280

Prime factors of 45280 are 2, 5, 283. Prime factorization of 45280 in exponential form is:

45280 = 2⁵ × 5¹ × 283¹

Step-2: 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-3: Factors of 45280

List of positive integer factors of 45280 that divides 45280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 283, 566, 1132, 1415, 2264, 2830, 4528, 5660, 9056, 11320, 22640

Step-4: Factors of 45296

List of positive integer factors of 45296 that divides 45280 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45280 and 45296. The biggest common factor number is the GCF number.
So the greatest common factor 45280 and 45296 is 16.

Also check out the Least Common Multiple of 45280 and 45296