What is the Greatest Common Factor of 1167 and 1173?

Greatest common factor (GCF) of 1167 and 1173 is 3.

GCF(1167,1173) = 3

We will now calculate the prime factors of 1167 and 1173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1167 and 1173.

How to find the GCF of 1167 and 1173?

We will first find the prime factorization of 1167 and 1173. After we will calculate the factors of 1167 and 1173 and find the biggest common factor number .

Step-1: Prime Factorization of 1167

Prime factors of 1167 are 3, 389. Prime factorization of 1167 in exponential form is:

1167 = 3¹ × 389¹

Step-2: Prime Factorization of 1173

Prime factors of 1173 are 3, 17, 23. Prime factorization of 1173 in exponential form is:

1173 = 3¹ × 17¹ × 23¹

Step-3: Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1, 3, 389

Step-4: Factors of 1173

List of positive integer factors of 1173 that divides 1167 without a remainder.

1, 3, 17, 23, 51, 69, 391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1167 and 1173. The biggest common factor number is the GCF number.
So the greatest common factor 1167 and 1173 is 3.

Also check out the Least Common Multiple of 1167 and 1173