What is the Greatest Common Factor of 45572 and 45584?

Greatest common factor (GCF) of 45572 and 45584 is 4.

GCF(45572,45584) = 4

We will now calculate the prime factors of 45572 and 45584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45572 and 45584.

How to find the GCF of 45572 and 45584?

We will first find the prime factorization of 45572 and 45584. After we will calculate the factors of 45572 and 45584 and find the biggest common factor number .

Step-1: Prime Factorization of 45572

Prime factors of 45572 are 2, 11393. Prime factorization of 45572 in exponential form is:

45572 = 2² × 11393¹

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 45572

List of positive integer factors of 45572 that divides 45572 without a remainder.

1, 2, 4, 11393, 22786

Step-4: Factors of 45584

List of positive integer factors of 45584 that divides 45572 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 45572 and 45584. The biggest common factor number is the GCF number.
So the greatest common factor 45572 and 45584 is 4.

Also check out the Least Common Multiple of 45572 and 45584