What is the Greatest Common Factor of 54005 and 54010?

Greatest common factor (GCF) of 54005 and 54010 is 5.

GCF(54005,54010) = 5

We will now calculate the prime factors of 54005 and 54010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54005 and 54010.

How to find the GCF of 54005 and 54010?

We will first find the prime factorization of 54005 and 54010. After we will calculate the factors of 54005 and 54010 and find the biggest common factor number .

Step-1: Prime Factorization of 54005

Prime factors of 54005 are 5, 7, 1543. Prime factorization of 54005 in exponential form is:

54005 = 5¹ × 7¹ × 1543¹

Step-2: Prime Factorization of 54010

Prime factors of 54010 are 2, 5, 11, 491. Prime factorization of 54010 in exponential form is:

54010 = 2¹ × 5¹ × 11¹ × 491¹

Step-3: Factors of 54005

List of positive integer factors of 54005 that divides 54005 without a remainder.

1, 5, 7, 35, 1543, 7715, 10801

Step-4: Factors of 54010

List of positive integer factors of 54010 that divides 54005 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 491, 982, 2455, 4910, 5401, 10802, 27005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54005 and 54010. The biggest common factor number is the GCF number.
So the greatest common factor 54005 and 54010 is 5.

Also check out the Least Common Multiple of 54005 and 54010