What is the Greatest Common Factor of 7918 and 7935?

Greatest common factor (GCF) of 7918 and 7935 is 1.

GCF(7918,7935) = 1

We will now calculate the prime factors of 7918 and 7935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7918 and 7935.

How to find the GCF of 7918 and 7935?

We will first find the prime factorization of 7918 and 7935. After we will calculate the factors of 7918 and 7935 and find the biggest common factor number .

Step-1: Prime Factorization of 7918

Prime factors of 7918 are 2, 37, 107. Prime factorization of 7918 in exponential form is:

7918 = 2¹ × 37¹ × 107¹

Step-2: 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-3: Factors of 7918

List of positive integer factors of 7918 that divides 7918 without a remainder.

1, 2, 37, 74, 107, 214, 3959

Step-4: Factors of 7935

List of positive integer factors of 7935 that divides 7918 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7918 and 7935. The biggest common factor number is the GCF number.
So the greatest common factor 7918 and 7935 is 1.

Also check out the Least Common Multiple of 7918 and 7935