What is the Greatest Common Factor of 4564 and 4578?

Greatest common factor (GCF) of 4564 and 4578 is 14.

GCF(4564,4578) = 14

We will now calculate the prime factors of 4564 and 4578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4564 and 4578.

How to find the GCF of 4564 and 4578?

We will first find the prime factorization of 4564 and 4578. After we will calculate the factors of 4564 and 4578 and find the biggest common factor number .

Step-1: Prime Factorization of 4564

Prime factors of 4564 are 2, 7, 163. Prime factorization of 4564 in exponential form is:

4564 = 2² × 7¹ × 163¹

Step-2: Prime Factorization of 4578

Prime factors of 4578 are 2, 3, 7, 109. Prime factorization of 4578 in exponential form is:

4578 = 2¹ × 3¹ × 7¹ × 109¹

Step-3: Factors of 4564

List of positive integer factors of 4564 that divides 4564 without a remainder.

1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282

Step-4: Factors of 4578

List of positive integer factors of 4578 that divides 4564 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4564 and 4578. The biggest common factor number is the GCF number.
So the greatest common factor 4564 and 4578 is 14.

Also check out the Least Common Multiple of 4564 and 4578