What is the Greatest Common Factor of 12749 and 12760?

Greatest common factor (GCF) of 12749 and 12760 is 11.

GCF(12749,12760) = 11

We will now calculate the prime factors of 12749 and 12760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12749 and 12760.

How to find the GCF of 12749 and 12760?

We will first find the prime factorization of 12749 and 12760. After we will calculate the factors of 12749 and 12760 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 12760

Prime factors of 12760 are 2, 5, 11, 29. Prime factorization of 12760 in exponential form is:

12760 = 2³ × 5¹ × 11¹ × 29¹

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 12760

List of positive integer factors of 12760 that divides 12749 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 29, 40, 44, 55, 58, 88, 110, 116, 145, 220, 232, 290, 319, 440, 580, 638, 1160, 1276, 1595, 2552, 3190, 6380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12749 and 12760. The biggest common factor number is the GCF number.
So the greatest common factor 12749 and 12760 is 11.

Also check out the Least Common Multiple of 12749 and 12760