What is the Greatest Common Factor of 7395 and 7406?

Greatest common factor (GCF) of 7395 and 7406 is 1.

GCF(7395,7406) = 1

We will now calculate the prime factors of 7395 and 7406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7395 and 7406.

How to find the GCF of 7395 and 7406?

We will first find the prime factorization of 7395 and 7406. After we will calculate the factors of 7395 and 7406 and find the biggest common factor number .

Step-1: Prime Factorization of 7395

Prime factors of 7395 are 3, 5, 17, 29. Prime factorization of 7395 in exponential form is:

7395 = 3¹ × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 7406

Prime factors of 7406 are 2, 7, 23. Prime factorization of 7406 in exponential form is:

7406 = 2¹ × 7¹ × 23²

Step-3: Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465

Step-4: Factors of 7406

List of positive integer factors of 7406 that divides 7395 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7395 and 7406. The biggest common factor number is the GCF number.
So the greatest common factor 7395 and 7406 is 1.

Also check out the Least Common Multiple of 7395 and 7406