What is the Greatest Common Factor of 38291 and 38302?

Greatest common factor (GCF) of 38291 and 38302 is 11.

GCF(38291,38302) = 11

We will now calculate the prime factors of 38291 and 38302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38291 and 38302.

How to find the GCF of 38291 and 38302?

We will first find the prime factorization of 38291 and 38302. After we will calculate the factors of 38291 and 38302 and find the biggest common factor number .

Step-1: Prime Factorization of 38291

Prime factors of 38291 are 11, 59. Prime factorization of 38291 in exponential form is:

38291 = 11¹ × 59²

Step-2: Prime Factorization of 38302

Prime factors of 38302 are 2, 11, 1741. Prime factorization of 38302 in exponential form is:

38302 = 2¹ × 11¹ × 1741¹

Step-3: Factors of 38291

List of positive integer factors of 38291 that divides 38291 without a remainder.

1, 11, 59, 649, 3481

Step-4: Factors of 38302

List of positive integer factors of 38302 that divides 38291 without a remainder.

1, 2, 11, 22, 1741, 3482, 19151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38291 and 38302. The biggest common factor number is the GCF number.
So the greatest common factor 38291 and 38302 is 11.

Also check out the Least Common Multiple of 38291 and 38302