What is the Greatest Common Factor of 54365 and 54370?

Greatest common factor (GCF) of 54365 and 54370 is 5.

GCF(54365,54370) = 5

We will now calculate the prime factors of 54365 and 54370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54365 and 54370.

How to find the GCF of 54365 and 54370?

We will first find the prime factorization of 54365 and 54370. After we will calculate the factors of 54365 and 54370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54370

Prime factors of 54370 are 2, 5, 5437. Prime factorization of 54370 in exponential form is:

54370 = 2¹ × 5¹ × 5437¹

Step-3: Factors of 54365

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

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

Step-4: Factors of 54370

List of positive integer factors of 54370 that divides 54365 without a remainder.

1, 2, 5, 10, 5437, 10874, 27185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54365 and 54370. The biggest common factor number is the GCF number.
So the greatest common factor 54365 and 54370 is 5.

Also check out the Least Common Multiple of 54365 and 54370