What is the Greatest Common Factor of 12749 and 12768?

Greatest common factor (GCF) of 12749 and 12768 is 19.

GCF(12749,12768) = 19

We will now calculate the prime factors of 12749 and 12768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12749 and 12768.

How to find the GCF of 12749 and 12768?

We will first find the prime factorization of 12749 and 12768. After we will calculate the factors of 12749 and 12768 and find the biggest common factor number .

Step-1: Prime Factorization of 12749

Prime factors of 12749 are 11, 19, 61. Prime factorization of 12749 in exponential form is:

12749 = 11¹ × 19¹ × 61¹

Step-2: Prime Factorization of 12768

Prime factors of 12768 are 2, 3, 7, 19. Prime factorization of 12768 in exponential form is:

12768 = 2⁵ × 3¹ × 7¹ × 19¹

Step-3: Factors of 12749

List of positive integer factors of 12749 that divides 12749 without a remainder.

1, 11, 19, 61, 209, 671, 1159

Step-4: Factors of 12768

List of positive integer factors of 12768 that divides 12749 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 32, 38, 42, 48, 56, 57, 76, 84, 96, 112, 114, 133, 152, 168, 224, 228, 266, 304, 336, 399, 456, 532, 608, 672, 798, 912, 1064, 1596, 1824, 2128, 3192, 4256, 6384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12749 and 12768. The biggest common factor number is the GCF number.
So the greatest common factor 12749 and 12768 is 19.

Also check out the Least Common Multiple of 12749 and 12768