What is the Greatest Common Factor of 38223 and 38235?

Greatest common factor (GCF) of 38223 and 38235 is 3.

GCF(38223,38235) = 3

We will now calculate the prime factors of 38223 and 38235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38223 and 38235.

How to find the GCF of 38223 and 38235?

We will first find the prime factorization of 38223 and 38235. After we will calculate the factors of 38223 and 38235 and find the biggest common factor number .

Step-1: Prime Factorization of 38223

Prime factors of 38223 are 3, 31, 137. Prime factorization of 38223 in exponential form is:

38223 = 3² × 31¹ × 137¹

Step-2: Prime Factorization of 38235

Prime factors of 38235 are 3, 5, 2549. Prime factorization of 38235 in exponential form is:

38235 = 3¹ × 5¹ × 2549¹

Step-3: Factors of 38223

List of positive integer factors of 38223 that divides 38223 without a remainder.

1, 3, 9, 31, 93, 137, 279, 411, 1233, 4247, 12741

Step-4: Factors of 38235

List of positive integer factors of 38235 that divides 38223 without a remainder.

1, 3, 5, 15, 2549, 7647, 12745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38223 and 38235. The biggest common factor number is the GCF number.
So the greatest common factor 38223 and 38235 is 3.

Also check out the Least Common Multiple of 38223 and 38235