What is the Greatest Common Factor of 92724 and 92742?

Greatest common factor (GCF) of 92724 and 92742 is 6.

GCF(92724,92742) = 6

We will now calculate the prime factors of 92724 and 92742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92724 and 92742.

How to find the GCF of 92724 and 92742?

We will first find the prime factorization of 92724 and 92742. After we will calculate the factors of 92724 and 92742 and find the biggest common factor number .

Step-1: Prime Factorization of 92724

Prime factors of 92724 are 2, 3, 7727. Prime factorization of 92724 in exponential form is:

92724 = 2² × 3¹ × 7727¹

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 92724

List of positive integer factors of 92724 that divides 92724 without a remainder.

1, 2, 3, 4, 6, 12, 7727, 15454, 23181, 30908, 46362

Step-4: Factors of 92742

List of positive integer factors of 92742 that divides 92724 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 92724 and 92742. The biggest common factor number is the GCF number.
So the greatest common factor 92724 and 92742 is 6.

Also check out the Least Common Multiple of 92724 and 92742