What is the Greatest Common Factor of 4578 and 4587?

Greatest common factor (GCF) of 4578 and 4587 is 3.

GCF(4578,4587) = 3

We will now calculate the prime factors of 4578 and 4587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4578 and 4587.

How to find the GCF of 4578 and 4587?

We will first find the prime factorization of 4578 and 4587. After we will calculate the factors of 4578 and 4587 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4587

Prime factors of 4587 are 3, 11, 139. Prime factorization of 4587 in exponential form is:

4587 = 3¹ × 11¹ × 139¹

Step-3: Factors of 4578

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

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

Step-4: Factors of 4587

List of positive integer factors of 4587 that divides 4578 without a remainder.

1, 3, 11, 33, 139, 417, 1529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4578 and 4587. The biggest common factor number is the GCF number.
So the greatest common factor 4578 and 4587 is 3.

Also check out the Least Common Multiple of 4578 and 4587