What is the Greatest Common Factor of 24960 and 24973?

Greatest common factor (GCF) of 24960 and 24973 is 13.

GCF(24960,24973) = 13

We will now calculate the prime factors of 24960 and 24973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24960 and 24973.

How to find the GCF of 24960 and 24973?

We will first find the prime factorization of 24960 and 24973. After we will calculate the factors of 24960 and 24973 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 24973

Prime factors of 24973 are 13, 17, 113. Prime factorization of 24973 in exponential form is:

24973 = 13¹ × 17¹ × 113¹

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 24973

List of positive integer factors of 24973 that divides 24960 without a remainder.

1, 13, 17, 113, 221, 1469, 1921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24960 and 24973. The biggest common factor number is the GCF number.
So the greatest common factor 24960 and 24973 is 13.

Also check out the Least Common Multiple of 24960 and 24973