What is the Greatest Common Factor of 92720 and 92734?

Greatest common factor (GCF) of 92720 and 92734 is 2.

GCF(92720,92734) = 2

We will now calculate the prime factors of 92720 and 92734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92720 and 92734.

How to find the GCF of 92720 and 92734?

We will first find the prime factorization of 92720 and 92734. After we will calculate the factors of 92720 and 92734 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 92734

Prime factors of 92734 are 2, 199, 233. Prime factorization of 92734 in exponential form is:

92734 = 2¹ × 199¹ × 233¹

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 92734

List of positive integer factors of 92734 that divides 92720 without a remainder.

1, 2, 199, 233, 398, 466, 46367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92720 and 92734. The biggest common factor number is the GCF number.
So the greatest common factor 92720 and 92734 is 2.

Also check out the Least Common Multiple of 92720 and 92734