What is the Greatest Common Factor of 38206 and 38213?

Greatest common factor (GCF) of 38206 and 38213 is 7.

GCF(38206,38213) = 7

We will now calculate the prime factors of 38206 and 38213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38206 and 38213.

How to find the GCF of 38206 and 38213?

We will first find the prime factorization of 38206 and 38213. After we will calculate the factors of 38206 and 38213 and find the biggest common factor number .

Step-1: Prime Factorization of 38206

Prime factors of 38206 are 2, 7, 2729. Prime factorization of 38206 in exponential form is:

38206 = 2¹ × 7¹ × 2729¹

Step-2: Prime Factorization of 38213

Prime factors of 38213 are 7, 53, 103. Prime factorization of 38213 in exponential form is:

38213 = 7¹ × 53¹ × 103¹

Step-3: Factors of 38206

List of positive integer factors of 38206 that divides 38206 without a remainder.

1, 2, 7, 14, 2729, 5458, 19103

Step-4: Factors of 38213

List of positive integer factors of 38213 that divides 38206 without a remainder.

1, 7, 53, 103, 371, 721, 5459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38206 and 38213. The biggest common factor number is the GCF number.
So the greatest common factor 38206 and 38213 is 7.

Also check out the Least Common Multiple of 38206 and 38213