What is the Greatest Common Factor of 45584 and 45588?

Greatest common factor (GCF) of 45584 and 45588 is 4.

GCF(45584,45588) = 4

We will now calculate the prime factors of 45584 and 45588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45584 and 45588.

How to find the GCF of 45584 and 45588?

We will first find the prime factorization of 45584 and 45588. After we will calculate the factors of 45584 and 45588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45588

Prime factors of 45588 are 2, 3, 29, 131. Prime factorization of 45588 in exponential form is:

45588 = 2² × 3¹ × 29¹ × 131¹

Step-3: Factors of 45584

List of positive integer factors of 45584 that divides 45584 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

Step-4: Factors of 45588

List of positive integer factors of 45588 that divides 45584 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 131, 174, 262, 348, 393, 524, 786, 1572, 3799, 7598, 11397, 15196, 22794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45584 and 45588. The biggest common factor number is the GCF number.
So the greatest common factor 45584 and 45588 is 4.

Also check out the Least Common Multiple of 45584 and 45588