What is the Greatest Common Factor of 82925 and 82930?

Greatest common factor (GCF) of 82925 and 82930 is 5.

GCF(82925,82930) = 5

We will now calculate the prime factors of 82925 and 82930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82925 and 82930.

How to find the GCF of 82925 and 82930?

We will first find the prime factorization of 82925 and 82930. After we will calculate the factors of 82925 and 82930 and find the biggest common factor number .

Step-1: Prime Factorization of 82925

Prime factors of 82925 are 5, 31, 107. Prime factorization of 82925 in exponential form is:

82925 = 5² × 31¹ × 107¹

Step-2: Prime Factorization of 82930

Prime factors of 82930 are 2, 5, 8293. Prime factorization of 82930 in exponential form is:

82930 = 2¹ × 5¹ × 8293¹

Step-3: Factors of 82925

List of positive integer factors of 82925 that divides 82925 without a remainder.

1, 5, 25, 31, 107, 155, 535, 775, 2675, 3317, 16585

Step-4: Factors of 82930

List of positive integer factors of 82930 that divides 82925 without a remainder.

1, 2, 5, 10, 8293, 16586, 41465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82925 and 82930. The biggest common factor number is the GCF number.
So the greatest common factor 82925 and 82930 is 5.

Also check out the Least Common Multiple of 82925 and 82930