What is the Greatest Common Factor of 38283 and 38290?

Greatest common factor (GCF) of 38283 and 38290 is 7.

GCF(38283,38290) = 7

We will now calculate the prime factors of 38283 and 38290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38283 and 38290.

How to find the GCF of 38283 and 38290?

We will first find the prime factorization of 38283 and 38290. After we will calculate the factors of 38283 and 38290 and find the biggest common factor number .

Step-1: Prime Factorization of 38283

Prime factors of 38283 are 3, 7, 1823. Prime factorization of 38283 in exponential form is:

38283 = 3¹ × 7¹ × 1823¹

Step-2: Prime Factorization of 38290

Prime factors of 38290 are 2, 5, 7, 547. Prime factorization of 38290 in exponential form is:

38290 = 2¹ × 5¹ × 7¹ × 547¹

Step-3: Factors of 38283

List of positive integer factors of 38283 that divides 38283 without a remainder.

1, 3, 7, 21, 1823, 5469, 12761

Step-4: Factors of 38290

List of positive integer factors of 38290 that divides 38283 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 547, 1094, 2735, 3829, 5470, 7658, 19145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38283 and 38290. The biggest common factor number is the GCF number.
So the greatest common factor 38283 and 38290 is 7.

Also check out the Least Common Multiple of 38283 and 38290