What is the Greatest Common Factor of 60525 and 60533?

Greatest common factor (GCF) of 60525 and 60533 is 1.

GCF(60525,60533) = 1

We will now calculate the prime factors of 60525 and 60533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60525 and 60533.

How to find the GCF of 60525 and 60533?

We will first find the prime factorization of 60525 and 60533. After we will calculate the factors of 60525 and 60533 and find the biggest common factor number .

Step-1: Prime Factorization of 60525

Prime factors of 60525 are 3, 5, 269. Prime factorization of 60525 in exponential form is:

60525 = 3² × 5² × 269¹

Step-2: Prime Factorization of 60533

Prime factors of 60533 are 11, 5503. Prime factorization of 60533 in exponential form is:

60533 = 11¹ × 5503¹

Step-3: Factors of 60525

List of positive integer factors of 60525 that divides 60525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 269, 807, 1345, 2421, 4035, 6725, 12105, 20175

Step-4: Factors of 60533

List of positive integer factors of 60533 that divides 60525 without a remainder.

1, 11, 5503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60525 and 60533. The biggest common factor number is the GCF number.
So the greatest common factor 60525 and 60533 is 1.

Also check out the Least Common Multiple of 60525 and 60533