What is the Greatest Common Factor of 92730 and 92750?

Greatest common factor (GCF) of 92730 and 92750 is 10.

GCF(92730,92750) = 10

We will now calculate the prime factors of 92730 and 92750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92730 and 92750.

How to find the GCF of 92730 and 92750?

We will first find the prime factorization of 92730 and 92750. After we will calculate the factors of 92730 and 92750 and find the biggest common factor number .

Step-1: Prime Factorization of 92730

Prime factors of 92730 are 2, 3, 5, 11, 281. Prime factorization of 92730 in exponential form is:

92730 = 2¹ × 3¹ × 5¹ × 11¹ × 281¹

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 92730

List of positive integer factors of 92730 that divides 92730 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 281, 330, 562, 843, 1405, 1686, 2810, 3091, 4215, 6182, 8430, 9273, 15455, 18546, 30910, 46365

Step-4: Factors of 92750

List of positive integer factors of 92750 that divides 92730 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 92730 and 92750. The biggest common factor number is the GCF number.
So the greatest common factor 92730 and 92750 is 10.

Also check out the Least Common Multiple of 92730 and 92750