What is the Greatest Common Factor of 24584 and 24604?

Greatest common factor (GCF) of 24584 and 24604 is 4.

GCF(24584,24604) = 4

We will now calculate the prime factors of 24584 and 24604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24584 and 24604.

How to find the GCF of 24584 and 24604?

We will first find the prime factorization of 24584 and 24604. After we will calculate the factors of 24584 and 24604 and find the biggest common factor number .

Step-1: Prime Factorization of 24584

Prime factors of 24584 are 2, 7, 439. Prime factorization of 24584 in exponential form is:

24584 = 2³ × 7¹ × 439¹

Step-2: Prime Factorization of 24604

Prime factors of 24604 are 2, 6151. Prime factorization of 24604 in exponential form is:

24604 = 2² × 6151¹

Step-3: Factors of 24584

List of positive integer factors of 24584 that divides 24584 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 439, 878, 1756, 3073, 3512, 6146, 12292

Step-4: Factors of 24604

List of positive integer factors of 24604 that divides 24584 without a remainder.

1, 2, 4, 6151, 12302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24584 and 24604. The biggest common factor number is the GCF number.
So the greatest common factor 24584 and 24604 is 4.

Also check out the Least Common Multiple of 24584 and 24604