What is the Greatest Common Factor of 30920 and 30938?

Greatest common factor (GCF) of 30920 and 30938 is 2.

GCF(30920,30938) = 2

We will now calculate the prime factors of 30920 and 30938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30920 and 30938.

How to find the GCF of 30920 and 30938?

We will first find the prime factorization of 30920 and 30938. After we will calculate the factors of 30920 and 30938 and find the biggest common factor number .

Step-1: Prime Factorization of 30920

Prime factors of 30920 are 2, 5, 773. Prime factorization of 30920 in exponential form is:

30920 = 2³ × 5¹ × 773¹

Step-2: 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-3: Factors of 30920

List of positive integer factors of 30920 that divides 30920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 773, 1546, 3092, 3865, 6184, 7730, 15460

Step-4: Factors of 30938

List of positive integer factors of 30938 that divides 30920 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30920 and 30938. The biggest common factor number is the GCF number.
So the greatest common factor 30920 and 30938 is 2.

Also check out the Least Common Multiple of 30920 and 30938