What is the Greatest Common Factor of 8216 and 8234?

Greatest common factor (GCF) of 8216 and 8234 is 2.

GCF(8216,8234) = 2

We will now calculate the prime factors of 8216 and 8234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8216 and 8234.

How to find the GCF of 8216 and 8234?

We will first find the prime factorization of 8216 and 8234. After we will calculate the factors of 8216 and 8234 and find the biggest common factor number .

Step-1: Prime Factorization of 8216

Prime factors of 8216 are 2, 13, 79. Prime factorization of 8216 in exponential form is:

8216 = 2³ × 13¹ × 79¹

Step-2: Prime Factorization of 8234

Prime factors of 8234 are 2, 23, 179. Prime factorization of 8234 in exponential form is:

8234 = 2¹ × 23¹ × 179¹

Step-3: Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108

Step-4: Factors of 8234

List of positive integer factors of 8234 that divides 8216 without a remainder.

1, 2, 23, 46, 179, 358, 4117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8216 and 8234. The biggest common factor number is the GCF number.
So the greatest common factor 8216 and 8234 is 2.

Also check out the Least Common Multiple of 8216 and 8234