What is the Greatest Common Factor of 7161 and 7167?

Greatest common factor (GCF) of 7161 and 7167 is 3.

GCF(7161,7167) = 3

We will now calculate the prime factors of 7161 and 7167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7161 and 7167.

How to find the GCF of 7161 and 7167?

We will first find the prime factorization of 7161 and 7167. After we will calculate the factors of 7161 and 7167 and find the biggest common factor number .

Step-1: Prime Factorization of 7161

Prime factors of 7161 are 3, 7, 11, 31. Prime factorization of 7161 in exponential form is:

7161 = 3¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 7167

Prime factors of 7167 are 3, 2389. Prime factorization of 7167 in exponential form is:

7167 = 3¹ × 2389¹

Step-3: Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387

Step-4: Factors of 7167

List of positive integer factors of 7167 that divides 7161 without a remainder.

1, 3, 2389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7161 and 7167. The biggest common factor number is the GCF number.
So the greatest common factor 7161 and 7167 is 3.

Also check out the Least Common Multiple of 7161 and 7167