What is the Greatest Common Factor of 30940 and 30958?

Greatest common factor (GCF) of 30940 and 30958 is 2.

GCF(30940,30958) = 2

We will now calculate the prime factors of 30940 and 30958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30940 and 30958.

How to find the GCF of 30940 and 30958?

We will first find the prime factorization of 30940 and 30958. After we will calculate the factors of 30940 and 30958 and find the biggest common factor number .

Step-1: Prime Factorization of 30940

Prime factors of 30940 are 2, 5, 7, 13, 17. Prime factorization of 30940 in exponential form is:

30940 = 2² × 5¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 30958

Prime factors of 30958 are 2, 23, 673. Prime factorization of 30958 in exponential form is:

30958 = 2¹ × 23¹ × 673¹

Step-3: Factors of 30940

List of positive integer factors of 30940 that divides 30940 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 17, 20, 26, 28, 34, 35, 52, 65, 68, 70, 85, 91, 119, 130, 140, 170, 182, 221, 238, 260, 340, 364, 442, 455, 476, 595, 884, 910, 1105, 1190, 1547, 1820, 2210, 2380, 3094, 4420, 6188, 7735, 15470

Step-4: Factors of 30958

List of positive integer factors of 30958 that divides 30940 without a remainder.

1, 2, 23, 46, 673, 1346, 15479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30940 and 30958. The biggest common factor number is the GCF number.
So the greatest common factor 30940 and 30958 is 2.

Also check out the Least Common Multiple of 30940 and 30958