What is the Greatest Common Factor of 60813 and 60825?

Greatest common factor (GCF) of 60813 and 60825 is 3.

GCF(60813,60825) = 3

We will now calculate the prime factors of 60813 and 60825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60813 and 60825.

How to find the GCF of 60813 and 60825?

We will first find the prime factorization of 60813 and 60825. After we will calculate the factors of 60813 and 60825 and find the biggest common factor number .

Step-1: Prime Factorization of 60813

Prime factors of 60813 are 3, 29, 233. Prime factorization of 60813 in exponential form is:

60813 = 3² × 29¹ × 233¹

Step-2: Prime Factorization of 60825

Prime factors of 60825 are 3, 5, 811. Prime factorization of 60825 in exponential form is:

60825 = 3¹ × 5² × 811¹

Step-3: Factors of 60813

List of positive integer factors of 60813 that divides 60813 without a remainder.

1, 3, 9, 29, 87, 233, 261, 699, 2097, 6757, 20271

Step-4: Factors of 60825

List of positive integer factors of 60825 that divides 60813 without a remainder.

1, 3, 5, 15, 25, 75, 811, 2433, 4055, 12165, 20275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60813 and 60825. The biggest common factor number is the GCF number.
So the greatest common factor 60813 and 60825 is 3.

Also check out the Least Common Multiple of 60813 and 60825