What is the Greatest Common Factor of 28930 and 28941?

Greatest common factor (GCF) of 28930 and 28941 is 11.

GCF(28930,28941) = 11

We will now calculate the prime factors of 28930 and 28941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28930 and 28941.

How to find the GCF of 28930 and 28941?

We will first find the prime factorization of 28930 and 28941. After we will calculate the factors of 28930 and 28941 and find the biggest common factor number .

Step-1: Prime Factorization of 28930

Prime factors of 28930 are 2, 5, 11, 263. Prime factorization of 28930 in exponential form is:

28930 = 2¹ × 5¹ × 11¹ × 263¹

Step-2: Prime Factorization of 28941

Prime factors of 28941 are 3, 11, 877. Prime factorization of 28941 in exponential form is:

28941 = 3¹ × 11¹ × 877¹

Step-3: Factors of 28930

List of positive integer factors of 28930 that divides 28930 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 263, 526, 1315, 2630, 2893, 5786, 14465

Step-4: Factors of 28941

List of positive integer factors of 28941 that divides 28930 without a remainder.

1, 3, 11, 33, 877, 2631, 9647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28930 and 28941. The biggest common factor number is the GCF number.
So the greatest common factor 28930 and 28941 is 11.

Also check out the Least Common Multiple of 28930 and 28941