What is the Greatest Common Factor of 45264 and 45275?

Greatest common factor (GCF) of 45264 and 45275 is 1.

GCF(45264,45275) = 1

We will now calculate the prime factors of 45264 and 45275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45264 and 45275.

How to find the GCF of 45264 and 45275?

We will first find the prime factorization of 45264 and 45275. After we will calculate the factors of 45264 and 45275 and find the biggest common factor number .

Step-1: Prime Factorization of 45264

Prime factors of 45264 are 2, 3, 23, 41. Prime factorization of 45264 in exponential form is:

45264 = 2⁴ × 3¹ × 23¹ × 41¹

Step-2: Prime Factorization of 45275

Prime factors of 45275 are 5, 1811. Prime factorization of 45275 in exponential form is:

45275 = 5² × 1811¹

Step-3: Factors of 45264

List of positive integer factors of 45264 that divides 45264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 41, 46, 48, 69, 82, 92, 123, 138, 164, 184, 246, 276, 328, 368, 492, 552, 656, 943, 984, 1104, 1886, 1968, 2829, 3772, 5658, 7544, 11316, 15088, 22632

Step-4: Factors of 45275

List of positive integer factors of 45275 that divides 45264 without a remainder.

1, 5, 25, 1811, 9055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45264 and 45275. The biggest common factor number is the GCF number.
So the greatest common factor 45264 and 45275 is 1.

Also check out the Least Common Multiple of 45264 and 45275