What is the Greatest Common Factor of 24705 and 24721?

Greatest common factor (GCF) of 24705 and 24721 is 1.

GCF(24705,24721) = 1

We will now calculate the prime factors of 24705 and 24721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24705 and 24721.

How to find the GCF of 24705 and 24721?

We will first find the prime factorization of 24705 and 24721. After we will calculate the factors of 24705 and 24721 and find the biggest common factor number .

Step-1: Prime Factorization of 24705

Prime factors of 24705 are 3, 5, 61. Prime factorization of 24705 in exponential form is:

24705 = 3⁴ × 5¹ × 61¹

Step-2: Prime Factorization of 24721

Prime factors of 24721 are 59, 419. Prime factorization of 24721 in exponential form is:

24721 = 59¹ × 419¹

Step-3: Factors of 24705

List of positive integer factors of 24705 that divides 24705 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 81, 135, 183, 305, 405, 549, 915, 1647, 2745, 4941, 8235

Step-4: Factors of 24721

List of positive integer factors of 24721 that divides 24705 without a remainder.

1, 59, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24705 and 24721. The biggest common factor number is the GCF number.
So the greatest common factor 24705 and 24721 is 1.

Also check out the Least Common Multiple of 24705 and 24721