What is the Greatest Common Factor of 24752 and 24772?

Greatest common factor (GCF) of 24752 and 24772 is 4.

GCF(24752,24772) = 4

We will now calculate the prime factors of 24752 and 24772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24752 and 24772.

How to find the GCF of 24752 and 24772?

We will first find the prime factorization of 24752 and 24772. After we will calculate the factors of 24752 and 24772 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 24772

Prime factors of 24772 are 2, 11, 563. Prime factorization of 24772 in exponential form is:

24772 = 2² × 11¹ × 563¹

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 24772

List of positive integer factors of 24772 that divides 24752 without a remainder.

1, 2, 4, 11, 22, 44, 563, 1126, 2252, 6193, 12386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24752 and 24772. The biggest common factor number is the GCF number.
So the greatest common factor 24752 and 24772 is 4.

Also check out the Least Common Multiple of 24752 and 24772