What is the Greatest Common Factor of 30940 and 30948?

Greatest common factor (GCF) of 30940 and 30948 is 4.

GCF(30940,30948) = 4

We will now calculate the prime factors of 30940 and 30948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30940 and 30948.

How to find the GCF of 30940 and 30948?

We will first find the prime factorization of 30940 and 30948. After we will calculate the factors of 30940 and 30948 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 30948

Prime factors of 30948 are 2, 3, 2579. Prime factorization of 30948 in exponential form is:

30948 = 2² × 3¹ × 2579¹

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 30948

List of positive integer factors of 30948 that divides 30940 without a remainder.

1, 2, 3, 4, 6, 12, 2579, 5158, 7737, 10316, 15474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30940 and 30948. The biggest common factor number is the GCF number.
So the greatest common factor 30940 and 30948 is 4.

Also check out the Least Common Multiple of 30940 and 30948