What is the Greatest Common Factor of 38290 and 38297?

Greatest common factor (GCF) of 38290 and 38297 is 7.

GCF(38290,38297) = 7

We will now calculate the prime factors of 38290 and 38297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38290 and 38297.

How to find the GCF of 38290 and 38297?

We will first find the prime factorization of 38290 and 38297. After we will calculate the factors of 38290 and 38297 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38297

Prime factors of 38297 are 7, 5471. Prime factorization of 38297 in exponential form is:

38297 = 7¹ × 5471¹

Step-3: Factors of 38290

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

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

Step-4: Factors of 38297

List of positive integer factors of 38297 that divides 38290 without a remainder.

1, 7, 5471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38290 and 38297. The biggest common factor number is the GCF number.
So the greatest common factor 38290 and 38297 is 7.

Also check out the Least Common Multiple of 38290 and 38297