What is the Greatest Common Factor of 24577 and 24584?

Greatest common factor (GCF) of 24577 and 24584 is 7.

GCF(24577,24584) = 7

We will now calculate the prime factors of 24577 and 24584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24577 and 24584.

How to find the GCF of 24577 and 24584?

We will first find the prime factorization of 24577 and 24584. After we will calculate the factors of 24577 and 24584 and find the biggest common factor number .

Step-1: Prime Factorization of 24577

Prime factors of 24577 are 7, 3511. Prime factorization of 24577 in exponential form is:

24577 = 7¹ × 3511¹

Step-2: 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-3: Factors of 24577

List of positive integer factors of 24577 that divides 24577 without a remainder.

1, 7, 3511

Step-4: Factors of 24584

List of positive integer factors of 24584 that divides 24577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24577 and 24584. The biggest common factor number is the GCF number.
So the greatest common factor 24577 and 24584 is 7.

Also check out the Least Common Multiple of 24577 and 24584