What is the Greatest Common Factor of 24960 and 24980?

Greatest common factor (GCF) of 24960 and 24980 is 20.

GCF(24960,24980) = 20

We will now calculate the prime factors of 24960 and 24980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24960 and 24980.

How to find the GCF of 24960 and 24980?

We will first find the prime factorization of 24960 and 24980. After we will calculate the factors of 24960 and 24980 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 24980

Prime factors of 24980 are 2, 5, 1249. Prime factorization of 24980 in exponential form is:

24980 = 2² × 5¹ × 1249¹

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 24980

List of positive integer factors of 24980 that divides 24960 without a remainder.

1, 2, 4, 5, 10, 20, 1249, 2498, 4996, 6245, 12490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24960 and 24980. The biggest common factor number is the GCF number.
So the greatest common factor 24960 and 24980 is 20.

Also check out the Least Common Multiple of 24960 and 24980