What is the Greatest Common Factor of 72839 and 72857?

Greatest common factor (GCF) of 72839 and 72857 is 1.

GCF(72839,72857) = 1

We will now calculate the prime factors of 72839 and 72857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72839 and 72857.

How to find the GCF of 72839 and 72857?

We will first find the prime factorization of 72839 and 72857. After we will calculate the factors of 72839 and 72857 and find the biggest common factor number .

Step-1: Prime Factorization of 72839

Prime factors of 72839 are 13, 431. Prime factorization of 72839 in exponential form is:

72839 = 13² × 431¹

Step-2: Prime Factorization of 72857

Prime factors of 72857 are 41, 1777. Prime factorization of 72857 in exponential form is:

72857 = 41¹ × 1777¹

Step-3: Factors of 72839

List of positive integer factors of 72839 that divides 72839 without a remainder.

1, 13, 169, 431, 5603

Step-4: Factors of 72857

List of positive integer factors of 72857 that divides 72839 without a remainder.

1, 41, 1777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72839 and 72857. The biggest common factor number is the GCF number.
So the greatest common factor 72839 and 72857 is 1.

Also check out the Least Common Multiple of 72839 and 72857