What is the Greatest Common Factor of 45564 and 45584?

Greatest common factor (GCF) of 45564 and 45584 is 4.

GCF(45564,45584) = 4

We will now calculate the prime factors of 45564 and 45584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45564 and 45584.

How to find the GCF of 45564 and 45584?

We will first find the prime factorization of 45564 and 45584. After we will calculate the factors of 45564 and 45584 and find the biggest common factor number .

Step-1: Prime Factorization of 45564

Prime factors of 45564 are 2, 3, 3797. Prime factorization of 45564 in exponential form is:

45564 = 2² × 3¹ × 3797¹

Step-2: Prime Factorization of 45584

Prime factors of 45584 are 2, 7, 11, 37. Prime factorization of 45584 in exponential form is:

45584 = 2⁴ × 7¹ × 11¹ × 37¹

Step-3: Factors of 45564

List of positive integer factors of 45564 that divides 45564 without a remainder.

1, 2, 3, 4, 6, 12, 3797, 7594, 11391, 15188, 22782

Step-4: Factors of 45584

List of positive integer factors of 45584 that divides 45564 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 37, 44, 56, 74, 77, 88, 112, 148, 154, 176, 259, 296, 308, 407, 518, 592, 616, 814, 1036, 1232, 1628, 2072, 2849, 3256, 4144, 5698, 6512, 11396, 22792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45564 and 45584. The biggest common factor number is the GCF number.
So the greatest common factor 45564 and 45584 is 4.

Also check out the Least Common Multiple of 45564 and 45584