What is the Greatest Common Factor of 75935 and 75940?

Greatest common factor (GCF) of 75935 and 75940 is 5.

GCF(75935,75940) = 5

We will now calculate the prime factors of 75935 and 75940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75935 and 75940.

How to find the GCF of 75935 and 75940?

We will first find the prime factorization of 75935 and 75940. After we will calculate the factors of 75935 and 75940 and find the biggest common factor number .

Step-1: Prime Factorization of 75935

Prime factors of 75935 are 5, 15187. Prime factorization of 75935 in exponential form is:

75935 = 5¹ × 15187¹

Step-2: Prime Factorization of 75940

Prime factors of 75940 are 2, 5, 3797. Prime factorization of 75940 in exponential form is:

75940 = 2² × 5¹ × 3797¹

Step-3: Factors of 75935

List of positive integer factors of 75935 that divides 75935 without a remainder.

1, 5, 15187

Step-4: Factors of 75940

List of positive integer factors of 75940 that divides 75935 without a remainder.

1, 2, 4, 5, 10, 20, 3797, 7594, 15188, 18985, 37970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75935 and 75940. The biggest common factor number is the GCF number.
So the greatest common factor 75935 and 75940 is 5.

Also check out the Least Common Multiple of 75935 and 75940