What is the Greatest Common Factor of 92716 and 92729?

Greatest common factor (GCF) of 92716 and 92729 is 13.

GCF(92716,92729) = 13

We will now calculate the prime factors of 92716 and 92729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92716 and 92729.

How to find the GCF of 92716 and 92729?

We will first find the prime factorization of 92716 and 92729. After we will calculate the factors of 92716 and 92729 and find the biggest common factor number .

Step-1: Prime Factorization of 92716

Prime factors of 92716 are 2, 13, 1783. Prime factorization of 92716 in exponential form is:

92716 = 2² × 13¹ × 1783¹

Step-2: Prime Factorization of 92729

Prime factors of 92729 are 7, 13, 1019. Prime factorization of 92729 in exponential form is:

92729 = 7¹ × 13¹ × 1019¹

Step-3: Factors of 92716

List of positive integer factors of 92716 that divides 92716 without a remainder.

1, 2, 4, 13, 26, 52, 1783, 3566, 7132, 23179, 46358

Step-4: Factors of 92729

List of positive integer factors of 92729 that divides 92716 without a remainder.

1, 7, 13, 91, 1019, 7133, 13247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92716 and 92729. The biggest common factor number is the GCF number.
So the greatest common factor 92716 and 92729 is 13.

Also check out the Least Common Multiple of 92716 and 92729