What is the Greatest Common Factor of 92742 and 92747?

Greatest common factor (GCF) of 92742 and 92747 is 1.

GCF(92742,92747) = 1

We will now calculate the prime factors of 92742 and 92747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92742 and 92747.

How to find the GCF of 92742 and 92747?

We will first find the prime factorization of 92742 and 92747. After we will calculate the factors of 92742 and 92747 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92747

Prime factors of 92747 are 163, 569. Prime factorization of 92747 in exponential form is:

92747 = 163¹ × 569¹

Step-3: Factors of 92742

List of positive integer factors of 92742 that divides 92742 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

Step-4: Factors of 92747

List of positive integer factors of 92747 that divides 92742 without a remainder.

1, 163, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92742 and 92747. The biggest common factor number is the GCF number.
So the greatest common factor 92742 and 92747 is 1.

Also check out the Least Common Multiple of 92742 and 92747