What is the Greatest Common Factor of 5364 and 5370?

Greatest common factor (GCF) of 5364 and 5370 is 6.

GCF(5364,5370) = 6

We will now calculate the prime factors of 5364 and 5370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5364 and 5370.

How to find the GCF of 5364 and 5370?

We will first find the prime factorization of 5364 and 5370. After we will calculate the factors of 5364 and 5370 and find the biggest common factor number .

Step-1: Prime Factorization of 5364

Prime factors of 5364 are 2, 3, 149. Prime factorization of 5364 in exponential form is:

5364 = 2² × 3² × 149¹

Step-2: Prime Factorization of 5370

Prime factors of 5370 are 2, 3, 5, 179. Prime factorization of 5370 in exponential form is:

5370 = 2¹ × 3¹ × 5¹ × 179¹

Step-3: Factors of 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682

Step-4: Factors of 5370

List of positive integer factors of 5370 that divides 5364 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5364 and 5370. The biggest common factor number is the GCF number.
So the greatest common factor 5364 and 5370 is 6.

Also check out the Least Common Multiple of 5364 and 5370