What is the Greatest Common Factor of 92729 and 92742?

Greatest common factor (GCF) of 92729 and 92742 is 13.

GCF(92729,92742) = 13

We will now calculate the prime factors of 92729 and 92742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92729 and 92742.

How to find the GCF of 92729 and 92742?

We will first find the prime factorization of 92729 and 92742. After we will calculate the factors of 92729 and 92742 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 92742

Prime factors of 92742 are 2, 3, 13, 29, 41. Prime factorization of 92742 in exponential form is:

92742 = 2¹ × 3¹ × 13¹ × 29¹ × 41¹

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 92742

List of positive integer factors of 92742 that divides 92729 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 41, 58, 78, 82, 87, 123, 174, 246, 377, 533, 754, 1066, 1131, 1189, 1599, 2262, 2378, 3198, 3567, 7134, 15457, 30914, 46371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92729 and 92742. The biggest common factor number is the GCF number.
So the greatest common factor 92729 and 92742 is 13.

Also check out the Least Common Multiple of 92729 and 92742