What is the Greatest Common Factor of 24949 and 24960?

Greatest common factor (GCF) of 24949 and 24960 is 1.

GCF(24949,24960) = 1

We will now calculate the prime factors of 24949 and 24960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24949 and 24960.

How to find the GCF of 24949 and 24960?

We will first find the prime factorization of 24949 and 24960. After we will calculate the factors of 24949 and 24960 and find the biggest common factor number .

Step-1: Prime Factorization of 24949

Prime factors of 24949 are 61, 409. Prime factorization of 24949 in exponential form is:

24949 = 61¹ × 409¹

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 24949

List of positive integer factors of 24949 that divides 24949 without a remainder.

1, 61, 409

Step-4: Factors of 24960

List of positive integer factors of 24960 that divides 24949 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 24949 and 24960. The biggest common factor number is the GCF number.
So the greatest common factor 24949 and 24960 is 1.

Also check out the Least Common Multiple of 24949 and 24960