What is the Greatest Common Factor of 27713 and 27729?

Greatest common factor (GCF) of 27713 and 27729 is 1.

GCF(27713,27729) = 1

We will now calculate the prime factors of 27713 and 27729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27713 and 27729.

How to find the GCF of 27713 and 27729?

We will first find the prime factorization of 27713 and 27729. After we will calculate the factors of 27713 and 27729 and find the biggest common factor number .

Step-1: Prime Factorization of 27713

Prime factors of 27713 are 7, 37, 107. Prime factorization of 27713 in exponential form is:

27713 = 7¹ × 37¹ × 107¹

Step-2: Prime Factorization of 27729

Prime factors of 27729 are 3, 13, 79. Prime factorization of 27729 in exponential form is:

27729 = 3³ × 13¹ × 79¹

Step-3: Factors of 27713

List of positive integer factors of 27713 that divides 27713 without a remainder.

1, 7, 37, 107, 259, 749, 3959

Step-4: Factors of 27729

List of positive integer factors of 27729 that divides 27713 without a remainder.

1, 3, 9, 13, 27, 39, 79, 117, 237, 351, 711, 1027, 2133, 3081, 9243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27713 and 27729. The biggest common factor number is the GCF number.
So the greatest common factor 27713 and 27729 is 1.

Also check out the Least Common Multiple of 27713 and 27729