What is the Greatest Common Factor of 30938 and 30942?

Greatest common factor (GCF) of 30938 and 30942 is 2.

GCF(30938,30942) = 2

We will now calculate the prime factors of 30938 and 30942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30938 and 30942.

How to find the GCF of 30938 and 30942?

We will first find the prime factorization of 30938 and 30942. After we will calculate the factors of 30938 and 30942 and find the biggest common factor number .

Step-1: Prime Factorization of 30938

Prime factors of 30938 are 2, 31, 499. Prime factorization of 30938 in exponential form is:

30938 = 2¹ × 31¹ × 499¹

Step-2: Prime Factorization of 30942

Prime factors of 30942 are 2, 3, 191. Prime factorization of 30942 in exponential form is:

30942 = 2¹ × 3⁴ × 191¹

Step-3: Factors of 30938

List of positive integer factors of 30938 that divides 30938 without a remainder.

1, 2, 31, 62, 499, 998, 15469

Step-4: Factors of 30942

List of positive integer factors of 30942 that divides 30938 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 191, 382, 573, 1146, 1719, 3438, 5157, 10314, 15471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30938 and 30942. The biggest common factor number is the GCF number.
So the greatest common factor 30938 and 30942 is 2.

Also check out the Least Common Multiple of 30938 and 30942