What is the Greatest Common Factor of 60809 and 60824?

Greatest common factor (GCF) of 60809 and 60824 is 1.

GCF(60809,60824) = 1

We will now calculate the prime factors of 60809 and 60824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60809 and 60824.

How to find the GCF of 60809 and 60824?

We will first find the prime factorization of 60809 and 60824. After we will calculate the factors of 60809 and 60824 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 60824

Prime factors of 60824 are 2, 7603. Prime factorization of 60824 in exponential form is:

60824 = 2³ × 7603¹

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 60824

List of positive integer factors of 60824 that divides 60809 without a remainder.

1, 2, 4, 8, 7603, 15206, 30412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60809 and 60824. The biggest common factor number is the GCF number.
So the greatest common factor 60809 and 60824 is 1.

Also check out the Least Common Multiple of 60809 and 60824