What is the Greatest Common Factor of 24544 and 24560?

Greatest common factor (GCF) of 24544 and 24560 is 16.

GCF(24544,24560) = 16

We will now calculate the prime factors of 24544 and 24560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24544 and 24560.

How to find the GCF of 24544 and 24560?

We will first find the prime factorization of 24544 and 24560. After we will calculate the factors of 24544 and 24560 and find the biggest common factor number .

Step-1: Prime Factorization of 24544

Prime factors of 24544 are 2, 13, 59. Prime factorization of 24544 in exponential form is:

24544 = 2⁵ × 13¹ × 59¹

Step-2: Prime Factorization of 24560

Prime factors of 24560 are 2, 5, 307. Prime factorization of 24560 in exponential form is:

24560 = 2⁴ × 5¹ × 307¹

Step-3: Factors of 24544

List of positive integer factors of 24544 that divides 24544 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 104, 118, 208, 236, 416, 472, 767, 944, 1534, 1888, 3068, 6136, 12272

Step-4: Factors of 24560

List of positive integer factors of 24560 that divides 24544 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 307, 614, 1228, 1535, 2456, 3070, 4912, 6140, 12280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24544 and 24560. The biggest common factor number is the GCF number.
So the greatest common factor 24544 and 24560 is 16.

Also check out the Least Common Multiple of 24544 and 24560