What is the Greatest Common Factor of 24752 and 24766?

Greatest common factor (GCF) of 24752 and 24766 is 14.

GCF(24752,24766) = 14

We will now calculate the prime factors of 24752 and 24766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24752 and 24766.

How to find the GCF of 24752 and 24766?

We will first find the prime factorization of 24752 and 24766. After we will calculate the factors of 24752 and 24766 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 24766

Prime factors of 24766 are 2, 7, 29, 61. Prime factorization of 24766 in exponential form is:

24766 = 2¹ × 7¹ × 29¹ × 61¹

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 24766

List of positive integer factors of 24766 that divides 24752 without a remainder.

1, 2, 7, 14, 29, 58, 61, 122, 203, 406, 427, 854, 1769, 3538, 12383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24752 and 24766. The biggest common factor number is the GCF number.
So the greatest common factor 24752 and 24766 is 14.

Also check out the Least Common Multiple of 24752 and 24766