What is the Greatest Common Factor of 24549 and 24560?

Greatest common factor (GCF) of 24549 and 24560 is 1.

GCF(24549,24560) = 1

We will now calculate the prime factors of 24549 and 24560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24549 and 24560.

How to find the GCF of 24549 and 24560?

We will first find the prime factorization of 24549 and 24560. After we will calculate the factors of 24549 and 24560 and find the biggest common factor number .

Step-1: Prime Factorization of 24549

Prime factors of 24549 are 3, 7, 167. Prime factorization of 24549 in exponential form is:

24549 = 3¹ × 7² × 167¹

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 24549

List of positive integer factors of 24549 that divides 24549 without a remainder.

1, 3, 7, 21, 49, 147, 167, 501, 1169, 3507, 8183

Step-4: Factors of 24560

List of positive integer factors of 24560 that divides 24549 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 24549 and 24560. The biggest common factor number is the GCF number.
So the greatest common factor 24549 and 24560 is 1.

Also check out the Least Common Multiple of 24549 and 24560