What is the Greatest Common Factor of 38210 and 38216?

Greatest common factor (GCF) of 38210 and 38216 is 2.

GCF(38210,38216) = 2

We will now calculate the prime factors of 38210 and 38216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38210 and 38216.

How to find the GCF of 38210 and 38216?

We will first find the prime factorization of 38210 and 38216. After we will calculate the factors of 38210 and 38216 and find the biggest common factor number .

Step-1: Prime Factorization of 38210

Prime factors of 38210 are 2, 5, 3821. Prime factorization of 38210 in exponential form is:

38210 = 2¹ × 5¹ × 3821¹

Step-2: Prime Factorization of 38216

Prime factors of 38216 are 2, 17, 281. Prime factorization of 38216 in exponential form is:

38216 = 2³ × 17¹ × 281¹

Step-3: Factors of 38210

List of positive integer factors of 38210 that divides 38210 without a remainder.

1, 2, 5, 10, 3821, 7642, 19105

Step-4: Factors of 38216

List of positive integer factors of 38216 that divides 38210 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 281, 562, 1124, 2248, 4777, 9554, 19108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38210 and 38216. The biggest common factor number is the GCF number.
So the greatest common factor 38210 and 38216 is 2.

Also check out the Least Common Multiple of 38210 and 38216