What is the Greatest Common Factor of 30913 and 30932?

Greatest common factor (GCF) of 30913 and 30932 is 19.

GCF(30913,30932) = 19

We will now calculate the prime factors of 30913 and 30932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30913 and 30932.

How to find the GCF of 30913 and 30932?

We will first find the prime factorization of 30913 and 30932. After we will calculate the factors of 30913 and 30932 and find the biggest common factor number .

Step-1: Prime Factorization of 30913

Prime factors of 30913 are 19, 1627. Prime factorization of 30913 in exponential form is:

30913 = 19¹ × 1627¹

Step-2: 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-3: Factors of 30913

List of positive integer factors of 30913 that divides 30913 without a remainder.

1, 19, 1627

Step-4: Factors of 30932

List of positive integer factors of 30932 that divides 30913 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30913 and 30932. The biggest common factor number is the GCF number.
So the greatest common factor 30913 and 30932 is 19.

Also check out the Least Common Multiple of 30913 and 30932