What is the Greatest Common Factor of 60825 and 60842?

Greatest common factor (GCF) of 60825 and 60842 is 1.

GCF(60825,60842) = 1

We will now calculate the prime factors of 60825 and 60842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60825 and 60842.

How to find the GCF of 60825 and 60842?

We will first find the prime factorization of 60825 and 60842. After we will calculate the factors of 60825 and 60842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60842

Prime factors of 60842 are 2, 29, 1049. Prime factorization of 60842 in exponential form is:

60842 = 2¹ × 29¹ × 1049¹

Step-3: Factors of 60825

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

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

Step-4: Factors of 60842

List of positive integer factors of 60842 that divides 60825 without a remainder.

1, 2, 29, 58, 1049, 2098, 30421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60825 and 60842. The biggest common factor number is the GCF number.
So the greatest common factor 60825 and 60842 is 1.

Also check out the Least Common Multiple of 60825 and 60842