What is the Greatest Common Factor of 92720 and 92730?

Greatest common factor (GCF) of 92720 and 92730 is 10.

GCF(92720,92730) = 10

We will now calculate the prime factors of 92720 and 92730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92720 and 92730.

How to find the GCF of 92720 and 92730?

We will first find the prime factorization of 92720 and 92730. After we will calculate the factors of 92720 and 92730 and find the biggest common factor number .

Step-1: Prime Factorization of 92720

Prime factors of 92720 are 2, 5, 19, 61. Prime factorization of 92720 in exponential form is:

92720 = 2⁴ × 5¹ × 19¹ × 61¹

Step-2: 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-3: Factors of 92720

List of positive integer factors of 92720 that divides 92720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 61, 76, 80, 95, 122, 152, 190, 244, 304, 305, 380, 488, 610, 760, 976, 1159, 1220, 1520, 2318, 2440, 4636, 4880, 5795, 9272, 11590, 18544, 23180, 46360

Step-4: Factors of 92730

List of positive integer factors of 92730 that divides 92720 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92720 and 92730. The biggest common factor number is the GCF number.
So the greatest common factor 92720 and 92730 is 10.

Also check out the Least Common Multiple of 92720 and 92730