What is the Greatest Common Factor of 92729 and 92743?

Greatest common factor (GCF) of 92729 and 92743 is 7.

GCF(92729,92743) = 7

We will now calculate the prime factors of 92729 and 92743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92729 and 92743.

How to find the GCF of 92729 and 92743?

We will first find the prime factorization of 92729 and 92743. After we will calculate the factors of 92729 and 92743 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92743

Prime factors of 92743 are 7, 13249. Prime factorization of 92743 in exponential form is:

92743 = 7¹ × 13249¹

Step-3: Factors of 92729

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

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

Step-4: Factors of 92743

List of positive integer factors of 92743 that divides 92729 without a remainder.

1, 7, 13249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92729 and 92743. The biggest common factor number is the GCF number.
So the greatest common factor 92729 and 92743 is 7.

Also check out the Least Common Multiple of 92729 and 92743