What is the Greatest Common Factor of 10857 and 10874?

Greatest common factor (GCF) of 10857 and 10874 is 1.

GCF(10857,10874) = 1

We will now calculate the prime factors of 10857 and 10874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10857 and 10874.

How to find the GCF of 10857 and 10874?

We will first find the prime factorization of 10857 and 10874. After we will calculate the factors of 10857 and 10874 and find the biggest common factor number .

Step-1: Prime Factorization of 10857

Prime factors of 10857 are 3, 7, 11, 47. Prime factorization of 10857 in exponential form is:

10857 = 3¹ × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 10874

Prime factors of 10874 are 2, 5437. Prime factorization of 10874 in exponential form is:

10874 = 2¹ × 5437¹

Step-3: Factors of 10857

List of positive integer factors of 10857 that divides 10857 without a remainder.

1, 3, 7, 11, 21, 33, 47, 77, 141, 231, 329, 517, 987, 1551, 3619

Step-4: Factors of 10874

List of positive integer factors of 10874 that divides 10857 without a remainder.

1, 2, 5437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10857 and 10874. The biggest common factor number is the GCF number.
So the greatest common factor 10857 and 10874 is 1.

Also check out the Least Common Multiple of 10857 and 10874