What is the Greatest Common Factor of 4578 and 4582?

Greatest common factor (GCF) of 4578 and 4582 is 2.

GCF(4578,4582) = 2

We will now calculate the prime factors of 4578 and 4582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4578 and 4582.

How to find the GCF of 4578 and 4582?

We will first find the prime factorization of 4578 and 4582. After we will calculate the factors of 4578 and 4582 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 4582

Prime factors of 4582 are 2, 29, 79. Prime factorization of 4582 in exponential form is:

4582 = 2¹ × 29¹ × 79¹

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 4582

List of positive integer factors of 4582 that divides 4578 without a remainder.

1, 2, 29, 58, 79, 158, 2291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4578 and 4582. The biggest common factor number is the GCF number.
So the greatest common factor 4578 and 4582 is 2.

Also check out the Least Common Multiple of 4578 and 4582