What is the Greatest Common Factor of 24950 and 24960?

Greatest common factor (GCF) of 24950 and 24960 is 10.

GCF(24950,24960) = 10

We will now calculate the prime factors of 24950 and 24960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24950 and 24960.

How to find the GCF of 24950 and 24960?

We will first find the prime factorization of 24950 and 24960. After we will calculate the factors of 24950 and 24960 and find the biggest common factor number .

Step-1: Prime Factorization of 24950

Prime factors of 24950 are 2, 5, 499. Prime factorization of 24950 in exponential form is:

24950 = 2¹ × 5² × 499¹

Step-2: 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-3: Factors of 24950

List of positive integer factors of 24950 that divides 24950 without a remainder.

1, 2, 5, 10, 25, 50, 499, 998, 2495, 4990, 12475

Step-4: Factors of 24960

List of positive integer factors of 24960 that divides 24950 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24950 and 24960. The biggest common factor number is the GCF number.
So the greatest common factor 24950 and 24960 is 10.

Also check out the Least Common Multiple of 24950 and 24960