What is the Greatest Common Factor of 72525 and 72543?

Greatest common factor (GCF) of 72525 and 72543 is 3.

GCF(72525,72543) = 3

We will now calculate the prime factors of 72525 and 72543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72525 and 72543.

How to find the GCF of 72525 and 72543?

We will first find the prime factorization of 72525 and 72543. After we will calculate the factors of 72525 and 72543 and find the biggest common factor number .

Step-1: Prime Factorization of 72525

Prime factors of 72525 are 3, 5, 967. Prime factorization of 72525 in exponential form is:

72525 = 3¹ × 5² × 967¹

Step-2: Prime Factorization of 72543

Prime factors of 72543 are 3, 24181. Prime factorization of 72543 in exponential form is:

72543 = 3¹ × 24181¹

Step-3: Factors of 72525

List of positive integer factors of 72525 that divides 72525 without a remainder.

1, 3, 5, 15, 25, 75, 967, 2901, 4835, 14505, 24175

Step-4: Factors of 72543

List of positive integer factors of 72543 that divides 72525 without a remainder.

1, 3, 24181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72525 and 72543. The biggest common factor number is the GCF number.
So the greatest common factor 72525 and 72543 is 3.

Also check out the Least Common Multiple of 72525 and 72543