What is the Greatest Common Factor of 92925 and 92930?

Greatest common factor (GCF) of 92925 and 92930 is 5.

GCF(92925,92930) = 5

We will now calculate the prime factors of 92925 and 92930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92925 and 92930.

How to find the GCF of 92925 and 92930?

We will first find the prime factorization of 92925 and 92930. After we will calculate the factors of 92925 and 92930 and find the biggest common factor number .

Step-1: Prime Factorization of 92925

Prime factors of 92925 are 3, 5, 7, 59. Prime factorization of 92925 in exponential form is:

92925 = 3² × 5² × 7¹ × 59¹

Step-2: Prime Factorization of 92930

Prime factors of 92930 are 2, 5, 9293. Prime factorization of 92930 in exponential form is:

92930 = 2¹ × 5¹ × 9293¹

Step-3: Factors of 92925

List of positive integer factors of 92925 that divides 92925 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 59, 63, 75, 105, 175, 177, 225, 295, 315, 413, 525, 531, 885, 1239, 1475, 1575, 2065, 2655, 3717, 4425, 6195, 10325, 13275, 18585, 30975

Step-4: Factors of 92930

List of positive integer factors of 92930 that divides 92925 without a remainder.

1, 2, 5, 10, 9293, 18586, 46465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92925 and 92930. The biggest common factor number is the GCF number.
So the greatest common factor 92925 and 92930 is 5.

Also check out the Least Common Multiple of 92925 and 92930