What is the Greatest Common Factor of 7107 and 7111?

Greatest common factor (GCF) of 7107 and 7111 is 1.

GCF(7107,7111) = 1

We will now calculate the prime factors of 7107 and 7111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7107 and 7111.

How to find the GCF of 7107 and 7111?

We will first find the prime factorization of 7107 and 7111. After we will calculate the factors of 7107 and 7111 and find the biggest common factor number .

Step-1: Prime Factorization of 7107

Prime factors of 7107 are 3, 23, 103. Prime factorization of 7107 in exponential form is:

7107 = 3¹ × 23¹ × 103¹

Step-2: Prime Factorization of 7111

Prime factors of 7111 are 13, 547. Prime factorization of 7111 in exponential form is:

7111 = 13¹ × 547¹

Step-3: Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1, 3, 23, 69, 103, 309, 2369

Step-4: Factors of 7111

List of positive integer factors of 7111 that divides 7107 without a remainder.

1, 13, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7107 and 7111. The biggest common factor number is the GCF number.
So the greatest common factor 7107 and 7111 is 1.

Also check out the Least Common Multiple of 7107 and 7111