What is the Greatest Common Factor of 525 and 543?

Greatest common factor (GCF) of 525 and 543 is 3.

GCF(525,543) = 3

We will now calculate the prime factors of 525 and 543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 525 and 543.

How to find the GCF of 525 and 543?

We will first find the prime factorization of 525 and 543. After we will calculate the factors of 525 and 543 and find the biggest common factor number .

Step-1: Prime Factorization of 525

Prime factors of 525 are 3, 5, 7. Prime factorization of 525 in exponential form is:

525 = 3¹ × 5² × 7¹

Step-2: Prime Factorization of 543

Prime factors of 543 are 3, 181. Prime factorization of 543 in exponential form is:

543 = 3¹ × 181¹

Step-3: Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175

Step-4: Factors of 543

List of positive integer factors of 543 that divides 525 without a remainder.

1, 3, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 525 and 543. The biggest common factor number is the GCF number.
So the greatest common factor 525 and 543 is 3.

Also check out the Least Common Multiple of 525 and 543