What is the Greatest Common Factor of 54525 and 54535?

Greatest common factor (GCF) of 54525 and 54535 is 5.

GCF(54525,54535) = 5

We will now calculate the prime factors of 54525 and 54535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54525 and 54535.

How to find the GCF of 54525 and 54535?

We will first find the prime factorization of 54525 and 54535. After we will calculate the factors of 54525 and 54535 and find the biggest common factor number .

Step-1: Prime Factorization of 54525

Prime factors of 54525 are 3, 5, 727. Prime factorization of 54525 in exponential form is:

54525 = 3¹ × 5² × 727¹

Step-2: 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-3: Factors of 54525

List of positive integer factors of 54525 that divides 54525 without a remainder.

1, 3, 5, 15, 25, 75, 727, 2181, 3635, 10905, 18175

Step-4: Factors of 54535

List of positive integer factors of 54535 that divides 54525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54525 and 54535. The biggest common factor number is the GCF number.
So the greatest common factor 54525 and 54535 is 5.

Also check out the Least Common Multiple of 54525 and 54535