What is the Greatest Common Factor of 8252 and 8262?

Greatest common factor (GCF) of 8252 and 8262 is 2.

GCF(8252,8262) = 2

We will now calculate the prime factors of 8252 and 8262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8252 and 8262.

How to find the GCF of 8252 and 8262?

We will first find the prime factorization of 8252 and 8262. After we will calculate the factors of 8252 and 8262 and find the biggest common factor number .

Step-1: Prime Factorization of 8252

Prime factors of 8252 are 2, 2063. Prime factorization of 8252 in exponential form is:

8252 = 2² × 2063¹

Step-2: Prime Factorization of 8262

Prime factors of 8262 are 2, 3, 17. Prime factorization of 8262 in exponential form is:

8262 = 2¹ × 3⁵ × 17¹

Step-3: Factors of 8252

List of positive integer factors of 8252 that divides 8252 without a remainder.

1, 2, 4, 2063, 4126

Step-4: Factors of 8262

List of positive integer factors of 8262 that divides 8252 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8252 and 8262. The biggest common factor number is the GCF number.
So the greatest common factor 8252 and 8262 is 2.

Also check out the Least Common Multiple of 8252 and 8262