What is the Greatest Common Factor of 45578 and 45591?

Greatest common factor (GCF) of 45578 and 45591 is 13.

GCF(45578,45591) = 13

We will now calculate the prime factors of 45578 and 45591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45578 and 45591.

How to find the GCF of 45578 and 45591?

We will first find the prime factorization of 45578 and 45591. After we will calculate the factors of 45578 and 45591 and find the biggest common factor number .

Step-1: Prime Factorization of 45578

Prime factors of 45578 are 2, 13, 1753. Prime factorization of 45578 in exponential form is:

45578 = 2¹ × 13¹ × 1753¹

Step-2: Prime Factorization of 45591

Prime factors of 45591 are 3, 7, 13, 167. Prime factorization of 45591 in exponential form is:

45591 = 3¹ × 7¹ × 13¹ × 167¹

Step-3: Factors of 45578

List of positive integer factors of 45578 that divides 45578 without a remainder.

1, 2, 13, 26, 1753, 3506, 22789

Step-4: Factors of 45591

List of positive integer factors of 45591 that divides 45578 without a remainder.

1, 3, 7, 13, 21, 39, 91, 167, 273, 501, 1169, 2171, 3507, 6513, 15197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45578 and 45591. The biggest common factor number is the GCF number.
So the greatest common factor 45578 and 45591 is 13.

Also check out the Least Common Multiple of 45578 and 45591