What is the Greatest Common Factor of 38297 and 38311?

Greatest common factor (GCF) of 38297 and 38311 is 7.

GCF(38297,38311) = 7

We will now calculate the prime factors of 38297 and 38311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38297 and 38311.

How to find the GCF of 38297 and 38311?

We will first find the prime factorization of 38297 and 38311. After we will calculate the factors of 38297 and 38311 and find the biggest common factor number .

Step-1: Prime Factorization of 38297

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

38297 = 7¹ × 5471¹

Step-2: Prime Factorization of 38311

Prime factors of 38311 are 7, 13, 421. Prime factorization of 38311 in exponential form is:

38311 = 7¹ × 13¹ × 421¹

Step-3: Factors of 38297

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

1, 7, 5471

Step-4: Factors of 38311

List of positive integer factors of 38311 that divides 38297 without a remainder.

1, 7, 13, 91, 421, 2947, 5473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38297 and 38311. The biggest common factor number is the GCF number.
So the greatest common factor 38297 and 38311 is 7.

Also check out the Least Common Multiple of 38297 and 38311