What is the Greatest Common Factor of 24735 and 24752?

Greatest common factor (GCF) of 24735 and 24752 is 17.

GCF(24735,24752) = 17

We will now calculate the prime factors of 24735 and 24752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24735 and 24752.

How to find the GCF of 24735 and 24752?

We will first find the prime factorization of 24735 and 24752. After we will calculate the factors of 24735 and 24752 and find the biggest common factor number .

Step-1: Prime Factorization of 24735

Prime factors of 24735 are 3, 5, 17, 97. Prime factorization of 24735 in exponential form is:

24735 = 3¹ × 5¹ × 17¹ × 97¹

Step-2: Prime Factorization of 24752

Prime factors of 24752 are 2, 7, 13, 17. Prime factorization of 24752 in exponential form is:

24752 = 2⁴ × 7¹ × 13¹ × 17¹

Step-3: Factors of 24735

List of positive integer factors of 24735 that divides 24735 without a remainder.

1, 3, 5, 15, 17, 51, 85, 97, 255, 291, 485, 1455, 1649, 4947, 8245

Step-4: Factors of 24752

List of positive integer factors of 24752 that divides 24735 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 17, 26, 28, 34, 52, 56, 68, 91, 104, 112, 119, 136, 182, 208, 221, 238, 272, 364, 442, 476, 728, 884, 952, 1456, 1547, 1768, 1904, 3094, 3536, 6188, 12376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24735 and 24752. The biggest common factor number is the GCF number.
So the greatest common factor 24735 and 24752 is 17.

Also check out the Least Common Multiple of 24735 and 24752