What is the Greatest Common Factor of 30914 and 30927?

Greatest common factor (GCF) of 30914 and 30927 is 13.

GCF(30914,30927) = 13

We will now calculate the prime factors of 30914 and 30927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30914 and 30927.

How to find the GCF of 30914 and 30927?

We will first find the prime factorization of 30914 and 30927. After we will calculate the factors of 30914 and 30927 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 30927

Prime factors of 30927 are 3, 13, 61. Prime factorization of 30927 in exponential form is:

30927 = 3¹ × 13² × 61¹

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 30927

List of positive integer factors of 30927 that divides 30914 without a remainder.

1, 3, 13, 39, 61, 169, 183, 507, 793, 2379, 10309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30914 and 30927. The biggest common factor number is the GCF number.
So the greatest common factor 30914 and 30927 is 13.

Also check out the Least Common Multiple of 30914 and 30927