What is the Greatest Common Factor of 56340 and 56358?

Greatest common factor (GCF) of 56340 and 56358 is 18.

GCF(56340,56358) = 18

We will now calculate the prime factors of 56340 and 56358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56340 and 56358.

How to find the GCF of 56340 and 56358?

We will first find the prime factorization of 56340 and 56358. After we will calculate the factors of 56340 and 56358 and find the biggest common factor number .

Step-1: Prime Factorization of 56340

Prime factors of 56340 are 2, 3, 5, 313. Prime factorization of 56340 in exponential form is:

56340 = 2² × 3² × 5¹ × 313¹

Step-2: Prime Factorization of 56358

Prime factors of 56358 are 2, 3, 31, 101. Prime factorization of 56358 in exponential form is:

56358 = 2¹ × 3² × 31¹ × 101¹

Step-3: Factors of 56340

List of positive integer factors of 56340 that divides 56340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 313, 626, 939, 1252, 1565, 1878, 2817, 3130, 3756, 4695, 5634, 6260, 9390, 11268, 14085, 18780, 28170

Step-4: Factors of 56358

List of positive integer factors of 56358 that divides 56340 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 101, 186, 202, 279, 303, 558, 606, 909, 1818, 3131, 6262, 9393, 18786, 28179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56340 and 56358. The biggest common factor number is the GCF number.
So the greatest common factor 56340 and 56358 is 18.

Also check out the Least Common Multiple of 56340 and 56358