What is the Greatest Common Factor of 60809 and 60821?

Greatest common factor (GCF) of 60809 and 60821 is 1.

GCF(60809,60821) = 1

We will now calculate the prime factors of 60809 and 60821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60809 and 60821.

How to find the GCF of 60809 and 60821?

We will first find the prime factorization of 60809 and 60821. After we will calculate the factors of 60809 and 60821 and find the biggest common factor number .

Step-1: Prime Factorization of 60809

Prime factors of 60809 are 7, 17, 73. Prime factorization of 60809 in exponential form is:

60809 = 7² × 17¹ × 73¹

Step-2: Prime Factorization of 60821

Prime factors of 60821 are 60821. Prime factorization of 60821 in exponential form is:

60821 = 60821¹

Step-3: Factors of 60809

List of positive integer factors of 60809 that divides 60809 without a remainder.

1, 7, 17, 49, 73, 119, 511, 833, 1241, 3577, 8687

Step-4: Factors of 60821

List of positive integer factors of 60821 that divides 60809 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60809 and 60821. The biggest common factor number is the GCF number.
So the greatest common factor 60809 and 60821 is 1.

Also check out the Least Common Multiple of 60809 and 60821