What is the Greatest Common Factor of 45249 and 45264?

Greatest common factor (GCF) of 45249 and 45264 is 3.

GCF(45249,45264) = 3

We will now calculate the prime factors of 45249 and 45264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45249 and 45264.

How to find the GCF of 45249 and 45264?

We will first find the prime factorization of 45249 and 45264. After we will calculate the factors of 45249 and 45264 and find the biggest common factor number .

Step-1: Prime Factorization of 45249

Prime factors of 45249 are 3, 15083. Prime factorization of 45249 in exponential form is:

45249 = 3¹ × 15083¹

Step-2: 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-3: Factors of 45249

List of positive integer factors of 45249 that divides 45249 without a remainder.

1, 3, 15083

Step-4: Factors of 45264

List of positive integer factors of 45264 that divides 45249 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45249 and 45264. The biggest common factor number is the GCF number.
So the greatest common factor 45249 and 45264 is 3.

Also check out the Least Common Multiple of 45249 and 45264