What is the Greatest Common Factor of 10849 and 10859?

Greatest common factor (GCF) of 10849 and 10859 is 1.

GCF(10849,10859) = 1

We will now calculate the prime factors of 10849 and 10859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10849 and 10859.

How to find the GCF of 10849 and 10859?

We will first find the prime factorization of 10849 and 10859. After we will calculate the factors of 10849 and 10859 and find the biggest common factor number .

Step-1: Prime Factorization of 10849

Prime factors of 10849 are 19, 571. Prime factorization of 10849 in exponential form is:

10849 = 19¹ × 571¹

Step-2: Prime Factorization of 10859

Prime factors of 10859 are 10859. Prime factorization of 10859 in exponential form is:

10859 = 10859¹

Step-3: Factors of 10849

List of positive integer factors of 10849 that divides 10849 without a remainder.

1, 19, 571

Step-4: Factors of 10859

List of positive integer factors of 10859 that divides 10849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10849 and 10859. The biggest common factor number is the GCF number.
So the greatest common factor 10849 and 10859 is 1.

Also check out the Least Common Multiple of 10849 and 10859