What is the Greatest Common Factor of 11739 and 11746?

Greatest common factor (GCF) of 11739 and 11746 is 7.

GCF(11739,11746) = 7

We will now calculate the prime factors of 11739 and 11746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11739 and 11746.

How to find the GCF of 11739 and 11746?

We will first find the prime factorization of 11739 and 11746. After we will calculate the factors of 11739 and 11746 and find the biggest common factor number .

Step-1: Prime Factorization of 11739

Prime factors of 11739 are 3, 7, 13, 43. Prime factorization of 11739 in exponential form is:

11739 = 3¹ × 7¹ × 13¹ × 43¹

Step-2: Prime Factorization of 11746

Prime factors of 11746 are 2, 7, 839. Prime factorization of 11746 in exponential form is:

11746 = 2¹ × 7¹ × 839¹

Step-3: Factors of 11739

List of positive integer factors of 11739 that divides 11739 without a remainder.

1, 3, 7, 13, 21, 39, 43, 91, 129, 273, 301, 559, 903, 1677, 3913

Step-4: Factors of 11746

List of positive integer factors of 11746 that divides 11739 without a remainder.

1, 2, 7, 14, 839, 1678, 5873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11739 and 11746. The biggest common factor number is the GCF number.
So the greatest common factor 11739 and 11746 is 7.

Also check out the Least Common Multiple of 11739 and 11746