What is the Greatest Common Factor of 7898 and 7905?

Greatest common factor (GCF) of 7898 and 7905 is 1.

GCF(7898,7905) = 1

We will now calculate the prime factors of 7898 and 7905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7898 and 7905.

How to find the GCF of 7898 and 7905?

We will first find the prime factorization of 7898 and 7905. After we will calculate the factors of 7898 and 7905 and find the biggest common factor number .

Step-1: Prime Factorization of 7898

Prime factors of 7898 are 2, 11, 359. Prime factorization of 7898 in exponential form is:

7898 = 2¹ × 11¹ × 359¹

Step-2: 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-3: Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1, 2, 11, 22, 359, 718, 3949

Step-4: Factors of 7905

List of positive integer factors of 7905 that divides 7898 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7898 and 7905. The biggest common factor number is the GCF number.
So the greatest common factor 7898 and 7905 is 1.

Also check out the Least Common Multiple of 7898 and 7905