What is the Greatest Common Factor of 24880 and 24895?

Greatest common factor (GCF) of 24880 and 24895 is 5.

GCF(24880,24895) = 5

We will now calculate the prime factors of 24880 and 24895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24880 and 24895.

How to find the GCF of 24880 and 24895?

We will first find the prime factorization of 24880 and 24895. After we will calculate the factors of 24880 and 24895 and find the biggest common factor number .

Step-1: Prime Factorization of 24880

Prime factors of 24880 are 2, 5, 311. Prime factorization of 24880 in exponential form is:

24880 = 2⁴ × 5¹ × 311¹

Step-2: Prime Factorization of 24895

Prime factors of 24895 are 5, 13, 383. Prime factorization of 24895 in exponential form is:

24895 = 5¹ × 13¹ × 383¹

Step-3: Factors of 24880

List of positive integer factors of 24880 that divides 24880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 311, 622, 1244, 1555, 2488, 3110, 4976, 6220, 12440

Step-4: Factors of 24895

List of positive integer factors of 24895 that divides 24880 without a remainder.

1, 5, 13, 65, 383, 1915, 4979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24880 and 24895. The biggest common factor number is the GCF number.
So the greatest common factor 24880 and 24895 is 5.

Also check out the Least Common Multiple of 24880 and 24895