What is the Greatest Common Factor of 54535 and 54540?

Greatest common factor (GCF) of 54535 and 54540 is 5.

GCF(54535,54540) = 5

We will now calculate the prime factors of 54535 and 54540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54535 and 54540.

How to find the GCF of 54535 and 54540?

We will first find the prime factorization of 54535 and 54540. After we will calculate the factors of 54535 and 54540 and find the biggest common factor number .

Step-1: Prime Factorization of 54535

Prime factors of 54535 are 5, 13, 839. Prime factorization of 54535 in exponential form is:

54535 = 5¹ × 13¹ × 839¹

Step-2: Prime Factorization of 54540

Prime factors of 54540 are 2, 3, 5, 101. Prime factorization of 54540 in exponential form is:

54540 = 2² × 3³ × 5¹ × 101¹

Step-3: Factors of 54535

List of positive integer factors of 54535 that divides 54535 without a remainder.

1, 5, 13, 65, 839, 4195, 10907

Step-4: Factors of 54540

List of positive integer factors of 54540 that divides 54535 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 101, 108, 135, 180, 202, 270, 303, 404, 505, 540, 606, 909, 1010, 1212, 1515, 1818, 2020, 2727, 3030, 3636, 4545, 5454, 6060, 9090, 10908, 13635, 18180, 27270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54535 and 54540. The biggest common factor number is the GCF number.
So the greatest common factor 54535 and 54540 is 5.

Also check out the Least Common Multiple of 54535 and 54540