What is the Greatest Common Factor of 7905 and 7918?

Greatest common factor (GCF) of 7905 and 7918 is 1.

GCF(7905,7918) = 1

We will now calculate the prime factors of 7905 and 7918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7905 and 7918.

How to find the GCF of 7905 and 7918?

We will first find the prime factorization of 7905 and 7918. After we will calculate the factors of 7905 and 7918 and find the biggest common factor number .

Step-1: Prime Factorization of 7905

Prime factors of 7905 are 3, 5, 17, 31. Prime factorization of 7905 in exponential form is:

7905 = 3¹ × 5¹ × 17¹ × 31¹

Step-2: 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-3: Factors of 7905

List of positive integer factors of 7905 that divides 7905 without a remainder.

1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635

Step-4: Factors of 7918

List of positive integer factors of 7918 that divides 7905 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7905 and 7918. The biggest common factor number is the GCF number.
So the greatest common factor 7905 and 7918 is 1.

Also check out the Least Common Multiple of 7905 and 7918