What is the Greatest Common Factor of 7414 and 7427?

Greatest common factor (GCF) of 7414 and 7427 is 1.

GCF(7414,7427) = 1

We will now calculate the prime factors of 7414 and 7427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7414 and 7427.

How to find the GCF of 7414 and 7427?

We will first find the prime factorization of 7414 and 7427. After we will calculate the factors of 7414 and 7427 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7427

Prime factors of 7427 are 7, 1061. Prime factorization of 7427 in exponential form is:

7427 = 7¹ × 1061¹

Step-3: Factors of 7414

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

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

Step-4: Factors of 7427

List of positive integer factors of 7427 that divides 7414 without a remainder.

1, 7, 1061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7414 and 7427. The biggest common factor number is the GCF number.
So the greatest common factor 7414 and 7427 is 1.

Also check out the Least Common Multiple of 7414 and 7427