What is the Greatest Common Factor of 45588 and 45595?

Greatest common factor (GCF) of 45588 and 45595 is 1.

GCF(45588,45595) = 1

We will now calculate the prime factors of 45588 and 45595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45588 and 45595.

How to find the GCF of 45588 and 45595?

We will first find the prime factorization of 45588 and 45595. After we will calculate the factors of 45588 and 45595 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 45595

Prime factors of 45595 are 5, 11, 829. Prime factorization of 45595 in exponential form is:

45595 = 5¹ × 11¹ × 829¹

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 45595

List of positive integer factors of 45595 that divides 45588 without a remainder.

1, 5, 11, 55, 829, 4145, 9119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45588 and 45595. The biggest common factor number is the GCF number.
So the greatest common factor 45588 and 45595 is 1.

Also check out the Least Common Multiple of 45588 and 45595