What is the Greatest Common Factor of 10752 and 10764?

Greatest common factor (GCF) of 10752 and 10764 is 12.

GCF(10752,10764) = 12

We will now calculate the prime factors of 10752 and 10764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10752 and 10764.

How to find the GCF of 10752 and 10764?

We will first find the prime factorization of 10752 and 10764. After we will calculate the factors of 10752 and 10764 and find the biggest common factor number .

Step-1: Prime Factorization of 10752

Prime factors of 10752 are 2, 3, 7. Prime factorization of 10752 in exponential form is:

10752 = 2⁹ × 3¹ × 7¹

Step-2: Prime Factorization of 10764

Prime factors of 10764 are 2, 3, 13, 23. Prime factorization of 10764 in exponential form is:

10764 = 2² × 3² × 13¹ × 23¹

Step-3: Factors of 10752

List of positive integer factors of 10752 that divides 10752 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 512, 672, 768, 896, 1344, 1536, 1792, 2688, 3584, 5376

Step-4: Factors of 10764

List of positive integer factors of 10764 that divides 10752 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 36, 39, 46, 52, 69, 78, 92, 117, 138, 156, 207, 234, 276, 299, 414, 468, 598, 828, 897, 1196, 1794, 2691, 3588, 5382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10752 and 10764. The biggest common factor number is the GCF number.
So the greatest common factor 10752 and 10764 is 12.

Also check out the Least Common Multiple of 10752 and 10764