What is the Greatest Common Factor of 32230 and 32241?

Greatest common factor (GCF) of 32230 and 32241 is 11.

GCF(32230,32241) = 11

We will now calculate the prime factors of 32230 and 32241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32230 and 32241.

How to find the GCF of 32230 and 32241?

We will first find the prime factorization of 32230 and 32241. After we will calculate the factors of 32230 and 32241 and find the biggest common factor number .

Step-1: Prime Factorization of 32230

Prime factors of 32230 are 2, 5, 11, 293. Prime factorization of 32230 in exponential form is:

32230 = 2¹ × 5¹ × 11¹ × 293¹

Step-2: Prime Factorization of 32241

Prime factors of 32241 are 3, 11, 977. Prime factorization of 32241 in exponential form is:

32241 = 3¹ × 11¹ × 977¹

Step-3: Factors of 32230

List of positive integer factors of 32230 that divides 32230 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 293, 586, 1465, 2930, 3223, 6446, 16115

Step-4: Factors of 32241

List of positive integer factors of 32241 that divides 32230 without a remainder.

1, 3, 11, 33, 977, 2931, 10747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32230 and 32241. The biggest common factor number is the GCF number.
So the greatest common factor 32230 and 32241 is 11.

Also check out the Least Common Multiple of 32230 and 32241