What is the Greatest Common Factor of 13262 and 13268?

Greatest common factor (GCF) of 13262 and 13268 is 2.

GCF(13262,13268) = 2

We will now calculate the prime factors of 13262 and 13268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13262 and 13268.

How to find the GCF of 13262 and 13268?

We will first find the prime factorization of 13262 and 13268. After we will calculate the factors of 13262 and 13268 and find the biggest common factor number .

Step-1: Prime Factorization of 13262

Prime factors of 13262 are 2, 19, 349. Prime factorization of 13262 in exponential form is:

13262 = 2¹ × 19¹ × 349¹

Step-2: Prime Factorization of 13268

Prime factors of 13268 are 2, 31, 107. Prime factorization of 13268 in exponential form is:

13268 = 2² × 31¹ × 107¹

Step-3: Factors of 13262

List of positive integer factors of 13262 that divides 13262 without a remainder.

1, 2, 19, 38, 349, 698, 6631

Step-4: Factors of 13268

List of positive integer factors of 13268 that divides 13262 without a remainder.

1, 2, 4, 31, 62, 107, 124, 214, 428, 3317, 6634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13262 and 13268. The biggest common factor number is the GCF number.
So the greatest common factor 13262 and 13268 is 2.

Also check out the Least Common Multiple of 13262 and 13268