What is the Greatest Common Factor of 2914 and 2934?

Greatest common factor (GCF) of 2914 and 2934 is 2.

GCF(2914,2934) = 2

We will now calculate the prime factors of 2914 and 2934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2914 and 2934.

How to find the GCF of 2914 and 2934?

We will first find the prime factorization of 2914 and 2934. After we will calculate the factors of 2914 and 2934 and find the biggest common factor number .

Step-1: Prime Factorization of 2914

Prime factors of 2914 are 2, 31, 47. Prime factorization of 2914 in exponential form is:

2914 = 2¹ × 31¹ × 47¹

Step-2: Prime Factorization of 2934

Prime factors of 2934 are 2, 3, 163. Prime factorization of 2934 in exponential form is:

2934 = 2¹ × 3² × 163¹

Step-3: Factors of 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1, 2, 31, 47, 62, 94, 1457

Step-4: Factors of 2934

List of positive integer factors of 2934 that divides 2914 without a remainder.

1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2914 and 2934. The biggest common factor number is the GCF number.
So the greatest common factor 2914 and 2934 is 2.

Also check out the Least Common Multiple of 2914 and 2934