What is the Greatest Common Factor of 45588 and 45592?

Greatest common factor (GCF) of 45588 and 45592 is 4.

GCF(45588,45592) = 4

We will now calculate the prime factors of 45588 and 45592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45588 and 45592.

How to find the GCF of 45588 and 45592?

We will first find the prime factorization of 45588 and 45592. After we will calculate the factors of 45588 and 45592 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45592

Prime factors of 45592 are 2, 41, 139. Prime factorization of 45592 in exponential form is:

45592 = 2³ × 41¹ × 139¹

Step-3: Factors of 45588

List of positive integer factors of 45588 that divides 45588 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

Step-4: Factors of 45592

List of positive integer factors of 45592 that divides 45588 without a remainder.

1, 2, 4, 8, 41, 82, 139, 164, 278, 328, 556, 1112, 5699, 11398, 22796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45588 and 45592. The biggest common factor number is the GCF number.
So the greatest common factor 45588 and 45592 is 4.

Also check out the Least Common Multiple of 45588 and 45592