What is the Greatest Common Factor of 30914 and 30923?

Greatest common factor (GCF) of 30914 and 30923 is 1.

GCF(30914,30923) = 1

We will now calculate the prime factors of 30914 and 30923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30914 and 30923.

How to find the GCF of 30914 and 30923?

We will first find the prime factorization of 30914 and 30923. After we will calculate the factors of 30914 and 30923 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 30923

Prime factors of 30923 are 17, 107. Prime factorization of 30923 in exponential form is:

30923 = 17² × 107¹

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 30923

List of positive integer factors of 30923 that divides 30914 without a remainder.

1, 17, 107, 289, 1819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30914 and 30923. The biggest common factor number is the GCF number.
So the greatest common factor 30914 and 30923 is 1.

Also check out the Least Common Multiple of 30914 and 30923