What is the Greatest Common Factor of 13364 and 13370?

Greatest common factor (GCF) of 13364 and 13370 is 2.

GCF(13364,13370) = 2

We will now calculate the prime factors of 13364 and 13370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13364 and 13370.

How to find the GCF of 13364 and 13370?

We will first find the prime factorization of 13364 and 13370. After we will calculate the factors of 13364 and 13370 and find the biggest common factor number .

Step-1: Prime Factorization of 13364

Prime factors of 13364 are 2, 13, 257. Prime factorization of 13364 in exponential form is:

13364 = 2² × 13¹ × 257¹

Step-2: Prime Factorization of 13370

Prime factors of 13370 are 2, 5, 7, 191. Prime factorization of 13370 in exponential form is:

13370 = 2¹ × 5¹ × 7¹ × 191¹

Step-3: Factors of 13364

List of positive integer factors of 13364 that divides 13364 without a remainder.

1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682

Step-4: Factors of 13370

List of positive integer factors of 13370 that divides 13364 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 191, 382, 955, 1337, 1910, 2674, 6685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13364 and 13370. The biggest common factor number is the GCF number.
So the greatest common factor 13364 and 13370 is 2.

Also check out the Least Common Multiple of 13364 and 13370