What is the Greatest Common Factor of 13739 and 13750?

Greatest common factor (GCF) of 13739 and 13750 is 11.

GCF(13739,13750) = 11

We will now calculate the prime factors of 13739 and 13750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13739 and 13750.

How to find the GCF of 13739 and 13750?

We will first find the prime factorization of 13739 and 13750. After we will calculate the factors of 13739 and 13750 and find the biggest common factor number .

Step-1: Prime Factorization of 13739

Prime factors of 13739 are 11, 1249. Prime factorization of 13739 in exponential form is:

13739 = 11¹ × 1249¹

Step-2: Prime Factorization of 13750

Prime factors of 13750 are 2, 5, 11. Prime factorization of 13750 in exponential form is:

13750 = 2¹ × 5⁴ × 11¹

Step-3: Factors of 13739

List of positive integer factors of 13739 that divides 13739 without a remainder.

1, 11, 1249

Step-4: Factors of 13750

List of positive integer factors of 13750 that divides 13739 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 625, 1250, 1375, 2750, 6875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13739 and 13750. The biggest common factor number is the GCF number.
So the greatest common factor 13739 and 13750 is 11.

Also check out the Least Common Multiple of 13739 and 13750