What is the Greatest Common Factor of 29223 and 29228?

Greatest common factor (GCF) of 29223 and 29228 is 1.

GCF(29223,29228) = 1

We will now calculate the prime factors of 29223 and 29228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29223 and 29228.

How to find the GCF of 29223 and 29228?

We will first find the prime factorization of 29223 and 29228. After we will calculate the factors of 29223 and 29228 and find the biggest common factor number .

Step-1: Prime Factorization of 29223

Prime factors of 29223 are 3, 17, 191. Prime factorization of 29223 in exponential form is:

29223 = 3² × 17¹ × 191¹

Step-2: Prime Factorization of 29228

Prime factors of 29228 are 2, 7307. Prime factorization of 29228 in exponential form is:

29228 = 2² × 7307¹

Step-3: Factors of 29223

List of positive integer factors of 29223 that divides 29223 without a remainder.

1, 3, 9, 17, 51, 153, 191, 573, 1719, 3247, 9741

Step-4: Factors of 29228

List of positive integer factors of 29228 that divides 29223 without a remainder.

1, 2, 4, 7307, 14614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29223 and 29228. The biggest common factor number is the GCF number.
So the greatest common factor 29223 and 29228 is 1.

Also check out the Least Common Multiple of 29223 and 29228