What is the Greatest Common Factor of 22912 and 22930?

Greatest common factor (GCF) of 22912 and 22930 is 2.

GCF(22912,22930) = 2

We will now calculate the prime factors of 22912 and 22930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22912 and 22930.

How to find the GCF of 22912 and 22930?

We will first find the prime factorization of 22912 and 22930. After we will calculate the factors of 22912 and 22930 and find the biggest common factor number .

Step-1: Prime Factorization of 22912

Prime factors of 22912 are 2, 179. Prime factorization of 22912 in exponential form is:

22912 = 2⁷ × 179¹

Step-2: Prime Factorization of 22930

Prime factors of 22930 are 2, 5, 2293. Prime factorization of 22930 in exponential form is:

22930 = 2¹ × 5¹ × 2293¹

Step-3: Factors of 22912

List of positive integer factors of 22912 that divides 22912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 179, 358, 716, 1432, 2864, 5728, 11456

Step-4: Factors of 22930

List of positive integer factors of 22930 that divides 22912 without a remainder.

1, 2, 5, 10, 2293, 4586, 11465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22912 and 22930. The biggest common factor number is the GCF number.
So the greatest common factor 22912 and 22930 is 2.

Also check out the Least Common Multiple of 22912 and 22930