What is the Greatest Common Factor of 75925 and 75930?

Greatest common factor (GCF) of 75925 and 75930 is 5.

GCF(75925,75930) = 5

We will now calculate the prime factors of 75925 and 75930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75925 and 75930.

How to find the GCF of 75925 and 75930?

We will first find the prime factorization of 75925 and 75930. After we will calculate the factors of 75925 and 75930 and find the biggest common factor number .

Step-1: Prime Factorization of 75925

Prime factors of 75925 are 5, 3037. Prime factorization of 75925 in exponential form is:

75925 = 5² × 3037¹

Step-2: Prime Factorization of 75930

Prime factors of 75930 are 2, 3, 5, 2531. Prime factorization of 75930 in exponential form is:

75930 = 2¹ × 3¹ × 5¹ × 2531¹

Step-3: Factors of 75925

List of positive integer factors of 75925 that divides 75925 without a remainder.

1, 5, 25, 3037, 15185

Step-4: Factors of 75930

List of positive integer factors of 75930 that divides 75925 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2531, 5062, 7593, 12655, 15186, 25310, 37965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75925 and 75930. The biggest common factor number is the GCF number.
So the greatest common factor 75925 and 75930 is 5.

Also check out the Least Common Multiple of 75925 and 75930