What is the Greatest Common Factor of 5358 and 5373?

Greatest common factor (GCF) of 5358 and 5373 is 3.

GCF(5358,5373) = 3

We will now calculate the prime factors of 5358 and 5373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5358 and 5373.

How to find the GCF of 5358 and 5373?

We will first find the prime factorization of 5358 and 5373. After we will calculate the factors of 5358 and 5373 and find the biggest common factor number .

Step-1: Prime Factorization of 5358

Prime factors of 5358 are 2, 3, 19, 47. Prime factorization of 5358 in exponential form is:

5358 = 2¹ × 3¹ × 19¹ × 47¹

Step-2: Prime Factorization of 5373

Prime factors of 5373 are 3, 199. Prime factorization of 5373 in exponential form is:

5373 = 3³ × 199¹

Step-3: Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679

Step-4: Factors of 5373

List of positive integer factors of 5373 that divides 5358 without a remainder.

1, 3, 9, 27, 199, 597, 1791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5358 and 5373. The biggest common factor number is the GCF number.
So the greatest common factor 5358 and 5373 is 3.

Also check out the Least Common Multiple of 5358 and 5373