What is the Greatest Common Factor of 30932 and 30943?

Greatest common factor (GCF) of 30932 and 30943 is 11.

GCF(30932,30943) = 11

We will now calculate the prime factors of 30932 and 30943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30932 and 30943.

How to find the GCF of 30932 and 30943?

We will first find the prime factorization of 30932 and 30943. After we will calculate the factors of 30932 and 30943 and find the biggest common factor number .

Step-1: Prime Factorization of 30932

Prime factors of 30932 are 2, 11, 19, 37. Prime factorization of 30932 in exponential form is:

30932 = 2² × 11¹ × 19¹ × 37¹

Step-2: Prime Factorization of 30943

Prime factors of 30943 are 11, 29, 97. Prime factorization of 30943 in exponential form is:

30943 = 11¹ × 29¹ × 97¹

Step-3: Factors of 30932

List of positive integer factors of 30932 that divides 30932 without a remainder.

1, 2, 4, 11, 19, 22, 37, 38, 44, 74, 76, 148, 209, 407, 418, 703, 814, 836, 1406, 1628, 2812, 7733, 15466

Step-4: Factors of 30943

List of positive integer factors of 30943 that divides 30932 without a remainder.

1, 11, 29, 97, 319, 1067, 2813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30932 and 30943. The biggest common factor number is the GCF number.
So the greatest common factor 30932 and 30943 is 11.

Also check out the Least Common Multiple of 30932 and 30943