What is the Greatest Common Factor of 24752 and 24765?

Greatest common factor (GCF) of 24752 and 24765 is 13.

GCF(24752,24765) = 13

We will now calculate the prime factors of 24752 and 24765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24752 and 24765.

How to find the GCF of 24752 and 24765?

We will first find the prime factorization of 24752 and 24765. After we will calculate the factors of 24752 and 24765 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24765

Prime factors of 24765 are 3, 5, 13, 127. Prime factorization of 24765 in exponential form is:

24765 = 3¹ × 5¹ × 13¹ × 127¹

Step-3: Factors of 24752

List of positive integer factors of 24752 that divides 24752 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

Step-4: Factors of 24765

List of positive integer factors of 24765 that divides 24752 without a remainder.

1, 3, 5, 13, 15, 39, 65, 127, 195, 381, 635, 1651, 1905, 4953, 8255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24752 and 24765. The biggest common factor number is the GCF number.
So the greatest common factor 24752 and 24765 is 13.

Also check out the Least Common Multiple of 24752 and 24765