What is the Greatest Common Factor of 92742 and 92750?

Greatest common factor (GCF) of 92742 and 92750 is 2.

GCF(92742,92750) = 2

We will now calculate the prime factors of 92742 and 92750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92742 and 92750.

How to find the GCF of 92742 and 92750?

We will first find the prime factorization of 92742 and 92750. After we will calculate the factors of 92742 and 92750 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 92750

Prime factors of 92750 are 2, 5, 7, 53. Prime factorization of 92750 in exponential form is:

92750 = 2¹ × 5³ × 7¹ × 53¹

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 92750

List of positive integer factors of 92750 that divides 92742 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 53, 70, 106, 125, 175, 250, 265, 350, 371, 530, 742, 875, 1325, 1750, 1855, 2650, 3710, 6625, 9275, 13250, 18550, 46375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92742 and 92750. The biggest common factor number is the GCF number.
So the greatest common factor 92742 and 92750 is 2.

Also check out the Least Common Multiple of 92742 and 92750