What is the Greatest Common Factor of 92720 and 92725?

Greatest common factor (GCF) of 92720 and 92725 is 5.

GCF(92720,92725) = 5

We will now calculate the prime factors of 92720 and 92725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92720 and 92725.

How to find the GCF of 92720 and 92725?

We will first find the prime factorization of 92720 and 92725. After we will calculate the factors of 92720 and 92725 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 92725

Prime factors of 92725 are 5, 3709. Prime factorization of 92725 in exponential form is:

92725 = 5² × 3709¹

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 92725

List of positive integer factors of 92725 that divides 92720 without a remainder.

1, 5, 25, 3709, 18545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92720 and 92725. The biggest common factor number is the GCF number.
So the greatest common factor 92720 and 92725 is 5.

Also check out the Least Common Multiple of 92720 and 92725