What is the Greatest Common Factor of 56321 and 56338?

Greatest common factor (GCF) of 56321 and 56338 is 17.

GCF(56321,56338) = 17

We will now calculate the prime factors of 56321 and 56338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56321 and 56338.

How to find the GCF of 56321 and 56338?

We will first find the prime factorization of 56321 and 56338. After we will calculate the factors of 56321 and 56338 and find the biggest common factor number .

Step-1: Prime Factorization of 56321

Prime factors of 56321 are 17, 3313. Prime factorization of 56321 in exponential form is:

56321 = 17¹ × 3313¹

Step-2: Prime Factorization of 56338

Prime factors of 56338 are 2, 17, 1657. Prime factorization of 56338 in exponential form is:

56338 = 2¹ × 17¹ × 1657¹

Step-3: Factors of 56321

List of positive integer factors of 56321 that divides 56321 without a remainder.

1, 17, 3313

Step-4: Factors of 56338

List of positive integer factors of 56338 that divides 56321 without a remainder.

1, 2, 17, 34, 1657, 3314, 28169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56321 and 56338. The biggest common factor number is the GCF number.
So the greatest common factor 56321 and 56338 is 17.

Also check out the Least Common Multiple of 56321 and 56338