What is the Greatest Common Factor of 24960 and 24965?

Greatest common factor (GCF) of 24960 and 24965 is 5.

GCF(24960,24965) = 5

We will now calculate the prime factors of 24960 and 24965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24960 and 24965.

How to find the GCF of 24960 and 24965?

We will first find the prime factorization of 24960 and 24965. After we will calculate the factors of 24960 and 24965 and find the biggest common factor number .

Step-1: Prime Factorization of 24960

Prime factors of 24960 are 2, 3, 5, 13. Prime factorization of 24960 in exponential form is:

24960 = 2⁷ × 3¹ × 5¹ × 13¹

Step-2: Prime Factorization of 24965

Prime factors of 24965 are 5, 4993. Prime factorization of 24965 in exponential form is:

24965 = 5¹ × 4993¹

Step-3: Factors of 24960

List of positive integer factors of 24960 that divides 24960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 260, 312, 320, 384, 390, 416, 480, 520, 624, 640, 780, 832, 960, 1040, 1248, 1560, 1664, 1920, 2080, 2496, 3120, 4160, 4992, 6240, 8320, 12480

Step-4: Factors of 24965

List of positive integer factors of 24965 that divides 24960 without a remainder.

1, 5, 4993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24960 and 24965. The biggest common factor number is the GCF number.
So the greatest common factor 24960 and 24965 is 5.

Also check out the Least Common Multiple of 24960 and 24965