What is the Greatest Common Factor of 8202 and 8216?

Greatest common factor (GCF) of 8202 and 8216 is 2.

GCF(8202,8216) = 2

We will now calculate the prime factors of 8202 and 8216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8202 and 8216.

How to find the GCF of 8202 and 8216?

We will first find the prime factorization of 8202 and 8216. After we will calculate the factors of 8202 and 8216 and find the biggest common factor number .

Step-1: Prime Factorization of 8202

Prime factors of 8202 are 2, 3, 1367. Prime factorization of 8202 in exponential form is:

8202 = 2¹ × 3¹ × 1367¹

Step-2: 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-3: Factors of 8202

List of positive integer factors of 8202 that divides 8202 without a remainder.

1, 2, 3, 6, 1367, 2734, 4101

Step-4: Factors of 8216

List of positive integer factors of 8216 that divides 8202 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8202 and 8216. The biggest common factor number is the GCF number.
So the greatest common factor 8202 and 8216 is 2.

Also check out the Least Common Multiple of 8202 and 8216