What is the Greatest Common Factor of 42525 and 42543?

Greatest common factor (GCF) of 42525 and 42543 is 9.

GCF(42525,42543) = 9

We will now calculate the prime factors of 42525 and 42543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42525 and 42543.

How to find the GCF of 42525 and 42543?

We will first find the prime factorization of 42525 and 42543. After we will calculate the factors of 42525 and 42543 and find the biggest common factor number .

Step-1: Prime Factorization of 42525

Prime factors of 42525 are 3, 5, 7. Prime factorization of 42525 in exponential form is:

42525 = 3⁵ × 5² × 7¹

Step-2: Prime Factorization of 42543

Prime factors of 42543 are 3, 29, 163. Prime factorization of 42543 in exponential form is:

42543 = 3² × 29¹ × 163¹

Step-3: Factors of 42525

List of positive integer factors of 42525 that divides 42525 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 135, 175, 189, 225, 243, 315, 405, 525, 567, 675, 945, 1215, 1575, 1701, 2025, 2835, 4725, 6075, 8505, 14175

Step-4: Factors of 42543

List of positive integer factors of 42543 that divides 42525 without a remainder.

1, 3, 9, 29, 87, 163, 261, 489, 1467, 4727, 14181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42525 and 42543. The biggest common factor number is the GCF number.
So the greatest common factor 42525 and 42543 is 9.

Also check out the Least Common Multiple of 42525 and 42543