What is the Greatest Common Factor of 3138 and 3152?

Greatest common factor (GCF) of 3138 and 3152 is 2.

GCF(3138,3152) = 2

We will now calculate the prime factors of 3138 and 3152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3138 and 3152.

How to find the GCF of 3138 and 3152?

We will first find the prime factorization of 3138 and 3152. After we will calculate the factors of 3138 and 3152 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 3152

Prime factors of 3152 are 2, 197. Prime factorization of 3152 in exponential form is:

3152 = 2⁴ × 197¹

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 3152

List of positive integer factors of 3152 that divides 3138 without a remainder.

1, 2, 4, 8, 16, 197, 394, 788, 1576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3138 and 3152. The biggest common factor number is the GCF number.
So the greatest common factor 3138 and 3152 is 2.

Also check out the Least Common Multiple of 3138 and 3152