What is the Greatest Common Factor of 30880 and 30892?

Greatest common factor (GCF) of 30880 and 30892 is 4.

GCF(30880,30892) = 4

We will now calculate the prime factors of 30880 and 30892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30880 and 30892.

How to find the GCF of 30880 and 30892?

We will first find the prime factorization of 30880 and 30892. After we will calculate the factors of 30880 and 30892 and find the biggest common factor number .

Step-1: Prime Factorization of 30880

Prime factors of 30880 are 2, 5, 193. Prime factorization of 30880 in exponential form is:

30880 = 2⁵ × 5¹ × 193¹

Step-2: Prime Factorization of 30892

Prime factors of 30892 are 2, 7723. Prime factorization of 30892 in exponential form is:

30892 = 2² × 7723¹

Step-3: Factors of 30880

List of positive integer factors of 30880 that divides 30880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 193, 386, 772, 965, 1544, 1930, 3088, 3860, 6176, 7720, 15440

Step-4: Factors of 30892

List of positive integer factors of 30892 that divides 30880 without a remainder.

1, 2, 4, 7723, 15446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30880 and 30892. The biggest common factor number is the GCF number.
So the greatest common factor 30880 and 30892 is 4.

Also check out the Least Common Multiple of 30880 and 30892