What is the Greatest Common Factor of 60505 and 60525?

Greatest common factor (GCF) of 60505 and 60525 is 5.

GCF(60505,60525) = 5

We will now calculate the prime factors of 60505 and 60525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60505 and 60525.

How to find the GCF of 60505 and 60525?

We will first find the prime factorization of 60505 and 60525. After we will calculate the factors of 60505 and 60525 and find the biggest common factor number .

Step-1: Prime Factorization of 60505

Prime factors of 60505 are 5, 12101. Prime factorization of 60505 in exponential form is:

60505 = 5¹ × 12101¹

Step-2: 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-3: Factors of 60505

List of positive integer factors of 60505 that divides 60505 without a remainder.

1, 5, 12101

Step-4: Factors of 60525

List of positive integer factors of 60525 that divides 60505 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60505 and 60525. The biggest common factor number is the GCF number.
So the greatest common factor 60505 and 60525 is 5.

Also check out the Least Common Multiple of 60505 and 60525