What is the Greatest Common Factor of 10849 and 10854?

Greatest common factor (GCF) of 10849 and 10854 is 1.

GCF(10849,10854) = 1

We will now calculate the prime factors of 10849 and 10854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10849 and 10854.

How to find the GCF of 10849 and 10854?

We will first find the prime factorization of 10849 and 10854. After we will calculate the factors of 10849 and 10854 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 10854

Prime factors of 10854 are 2, 3, 67. Prime factorization of 10854 in exponential form is:

10854 = 2¹ × 3⁴ × 67¹

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 10854

List of positive integer factors of 10854 that divides 10849 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 81, 134, 162, 201, 402, 603, 1206, 1809, 3618, 5427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10849 and 10854. The biggest common factor number is the GCF number.
So the greatest common factor 10849 and 10854 is 1.

Also check out the Least Common Multiple of 10849 and 10854