What is the Greatest Common Factor of 54345 and 54365?

Greatest common factor (GCF) of 54345 and 54365 is 5.

GCF(54345,54365) = 5

We will now calculate the prime factors of 54345 and 54365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54345 and 54365.

How to find the GCF of 54345 and 54365?

We will first find the prime factorization of 54345 and 54365. After we will calculate the factors of 54345 and 54365 and find the biggest common factor number .

Step-1: Prime Factorization of 54345

Prime factors of 54345 are 3, 5, 3623. Prime factorization of 54345 in exponential form is:

54345 = 3¹ × 5¹ × 3623¹

Step-2: Prime Factorization of 54365

Prime factors of 54365 are 5, 83, 131. Prime factorization of 54365 in exponential form is:

54365 = 5¹ × 83¹ × 131¹

Step-3: Factors of 54345

List of positive integer factors of 54345 that divides 54345 without a remainder.

1, 3, 5, 15, 3623, 10869, 18115

Step-4: Factors of 54365

List of positive integer factors of 54365 that divides 54345 without a remainder.

1, 5, 83, 131, 415, 655, 10873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54345 and 54365. The biggest common factor number is the GCF number.
So the greatest common factor 54345 and 54365 is 5.

Also check out the Least Common Multiple of 54345 and 54365