What is the Greatest Common Factor of 38302 and 38316?

Greatest common factor (GCF) of 38302 and 38316 is 2.

GCF(38302,38316) = 2

We will now calculate the prime factors of 38302 and 38316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38302 and 38316.

How to find the GCF of 38302 and 38316?

We will first find the prime factorization of 38302 and 38316. After we will calculate the factors of 38302 and 38316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38316

Prime factors of 38316 are 2, 3, 31, 103. Prime factorization of 38316 in exponential form is:

38316 = 2² × 3¹ × 31¹ × 103¹

Step-3: Factors of 38302

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

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

Step-4: Factors of 38316

List of positive integer factors of 38316 that divides 38302 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 103, 124, 186, 206, 309, 372, 412, 618, 1236, 3193, 6386, 9579, 12772, 19158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38302 and 38316. The biggest common factor number is the GCF number.
So the greatest common factor 38302 and 38316 is 2.

Also check out the Least Common Multiple of 38302 and 38316