What is the Greatest Common Factor of 7407 and 7414?

Greatest common factor (GCF) of 7407 and 7414 is 1.

GCF(7407,7414) = 1

We will now calculate the prime factors of 7407 and 7414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7407 and 7414.

How to find the GCF of 7407 and 7414?

We will first find the prime factorization of 7407 and 7414. After we will calculate the factors of 7407 and 7414 and find the biggest common factor number .

Step-1: Prime Factorization of 7407

Prime factors of 7407 are 3, 823. Prime factorization of 7407 in exponential form is:

7407 = 3² × 823¹

Step-2: Prime Factorization of 7414

Prime factors of 7414 are 2, 11, 337. Prime factorization of 7414 in exponential form is:

7414 = 2¹ × 11¹ × 337¹

Step-3: Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1, 3, 9, 823, 2469

Step-4: Factors of 7414

List of positive integer factors of 7414 that divides 7407 without a remainder.

1, 2, 11, 22, 337, 674, 3707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7407 and 7414. The biggest common factor number is the GCF number.
So the greatest common factor 7407 and 7414 is 1.

Also check out the Least Common Multiple of 7407 and 7414