What is the Greatest Common Factor of 5226 and 5234?

Greatest common factor (GCF) of 5226 and 5234 is 2.

GCF(5226,5234) = 2

We will now calculate the prime factors of 5226 and 5234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5226 and 5234.

How to find the GCF of 5226 and 5234?

We will first find the prime factorization of 5226 and 5234. After we will calculate the factors of 5226 and 5234 and find the biggest common factor number .

Step-1: Prime Factorization of 5226

Prime factors of 5226 are 2, 3, 13, 67. Prime factorization of 5226 in exponential form is:

5226 = 2¹ × 3¹ × 13¹ × 67¹

Step-2: Prime Factorization of 5234

Prime factors of 5234 are 2, 2617. Prime factorization of 5234 in exponential form is:

5234 = 2¹ × 2617¹

Step-3: Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613

Step-4: Factors of 5234

List of positive integer factors of 5234 that divides 5226 without a remainder.

1, 2, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5226 and 5234. The biggest common factor number is the GCF number.
So the greatest common factor 5226 and 5234 is 2.

Also check out the Least Common Multiple of 5226 and 5234