What is the Greatest Common Factor of 3154 and 3173?

Greatest common factor (GCF) of 3154 and 3173 is 19.

GCF(3154,3173) = 19

We will now calculate the prime factors of 3154 and 3173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3154 and 3173.

How to find the GCF of 3154 and 3173?

We will first find the prime factorization of 3154 and 3173. After we will calculate the factors of 3154 and 3173 and find the biggest common factor number .

Step-1: Prime Factorization of 3154

Prime factors of 3154 are 2, 19, 83. Prime factorization of 3154 in exponential form is:

3154 = 2¹ × 19¹ × 83¹

Step-2: Prime Factorization of 3173

Prime factors of 3173 are 19, 167. Prime factorization of 3173 in exponential form is:

3173 = 19¹ × 167¹

Step-3: Factors of 3154

List of positive integer factors of 3154 that divides 3154 without a remainder.

1, 2, 19, 38, 83, 166, 1577

Step-4: Factors of 3173

List of positive integer factors of 3173 that divides 3154 without a remainder.

1, 19, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3154 and 3173. The biggest common factor number is the GCF number.
So the greatest common factor 3154 and 3173 is 19.

Also check out the Least Common Multiple of 3154 and 3173