What is the Greatest Common Factor of 3138 and 3154?

Greatest common factor (GCF) of 3138 and 3154 is 2.

GCF(3138,3154) = 2

We will now calculate the prime factors of 3138 and 3154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3138 and 3154.

How to find the GCF of 3138 and 3154?

We will first find the prime factorization of 3138 and 3154. After we will calculate the factors of 3138 and 3154 and find the biggest common factor number .

Step-1: Prime Factorization of 3138

Prime factors of 3138 are 2, 3, 523. Prime factorization of 3138 in exponential form is:

3138 = 2¹ × 3¹ × 523¹

Step-2: 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-3: Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1, 2, 3, 6, 523, 1046, 1569

Step-4: Factors of 3154

List of positive integer factors of 3154 that divides 3138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3138 and 3154. The biggest common factor number is the GCF number.
So the greatest common factor 3138 and 3154 is 2.

Also check out the Least Common Multiple of 3138 and 3154