What is the Greatest Common Factor of 30914 and 30926?

Greatest common factor (GCF) of 30914 and 30926 is 2.

GCF(30914,30926) = 2

We will now calculate the prime factors of 30914 and 30926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30914 and 30926.

How to find the GCF of 30914 and 30926?

We will first find the prime factorization of 30914 and 30926. After we will calculate the factors of 30914 and 30926 and find the biggest common factor number .

Step-1: Prime Factorization of 30914

Prime factors of 30914 are 2, 13, 29, 41. Prime factorization of 30914 in exponential form is:

30914 = 2¹ × 13¹ × 29¹ × 41¹

Step-2: Prime Factorization of 30926

Prime factors of 30926 are 2, 7, 47. Prime factorization of 30926 in exponential form is:

30926 = 2¹ × 7¹ × 47²

Step-3: Factors of 30914

List of positive integer factors of 30914 that divides 30914 without a remainder.

1, 2, 13, 26, 29, 41, 58, 82, 377, 533, 754, 1066, 1189, 2378, 15457

Step-4: Factors of 30926

List of positive integer factors of 30926 that divides 30914 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658, 2209, 4418, 15463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30914 and 30926. The biggest common factor number is the GCF number.
So the greatest common factor 30914 and 30926 is 2.

Also check out the Least Common Multiple of 30914 and 30926