What is the Greatest Common Factor of 56340 and 56348?

Greatest common factor (GCF) of 56340 and 56348 is 4.

GCF(56340,56348) = 4

We will now calculate the prime factors of 56340 and 56348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56340 and 56348.

How to find the GCF of 56340 and 56348?

We will first find the prime factorization of 56340 and 56348. After we will calculate the factors of 56340 and 56348 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 56348

Prime factors of 56348 are 2, 14087. Prime factorization of 56348 in exponential form is:

56348 = 2² × 14087¹

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 56348

List of positive integer factors of 56348 that divides 56340 without a remainder.

1, 2, 4, 14087, 28174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56340 and 56348. The biggest common factor number is the GCF number.
So the greatest common factor 56340 and 56348 is 4.

Also check out the Least Common Multiple of 56340 and 56348