What is the Greatest Common Factor of 45264 and 45279?

Greatest common factor (GCF) of 45264 and 45279 is 3.

GCF(45264,45279) = 3

We will now calculate the prime factors of 45264 and 45279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45264 and 45279.

How to find the GCF of 45264 and 45279?

We will first find the prime factorization of 45264 and 45279. After we will calculate the factors of 45264 and 45279 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 45279

Prime factors of 45279 are 3, 13, 43. Prime factorization of 45279 in exponential form is:

45279 = 3⁴ × 13¹ × 43¹

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 45279

List of positive integer factors of 45279 that divides 45264 without a remainder.

1, 3, 9, 13, 27, 39, 43, 81, 117, 129, 351, 387, 559, 1053, 1161, 1677, 3483, 5031, 15093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45264 and 45279. The biggest common factor number is the GCF number.
So the greatest common factor 45264 and 45279 is 3.

Also check out the Least Common Multiple of 45264 and 45279