What is the Greatest Common Factor of 7935 and 7950?

Greatest common factor (GCF) of 7935 and 7950 is 15.

GCF(7935,7950) = 15

We will now calculate the prime factors of 7935 and 7950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7935 and 7950.

How to find the GCF of 7935 and 7950?

We will first find the prime factorization of 7935 and 7950. After we will calculate the factors of 7935 and 7950 and find the biggest common factor number .

Step-1: Prime Factorization of 7935

Prime factors of 7935 are 3, 5, 23. Prime factorization of 7935 in exponential form is:

7935 = 3¹ × 5¹ × 23²

Step-2: Prime Factorization of 7950

Prime factors of 7950 are 2, 3, 5, 53. Prime factorization of 7950 in exponential form is:

7950 = 2¹ × 3¹ × 5² × 53¹

Step-3: Factors of 7935

List of positive integer factors of 7935 that divides 7935 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645

Step-4: Factors of 7950

List of positive integer factors of 7950 that divides 7935 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7935 and 7950. The biggest common factor number is the GCF number.
So the greatest common factor 7935 and 7950 is 15.

Also check out the Least Common Multiple of 7935 and 7950