What is the Greatest Common Factor of 10838 and 10858?

Greatest common factor (GCF) of 10838 and 10858 is 2.

GCF(10838,10858) = 2

We will now calculate the prime factors of 10838 and 10858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10838 and 10858.

How to find the GCF of 10838 and 10858?

We will first find the prime factorization of 10838 and 10858. After we will calculate the factors of 10838 and 10858 and find the biggest common factor number .

Step-1: Prime Factorization of 10838

Prime factors of 10838 are 2, 5419. Prime factorization of 10838 in exponential form is:

10838 = 2¹ × 5419¹

Step-2: Prime Factorization of 10858

Prime factors of 10858 are 2, 61, 89. Prime factorization of 10858 in exponential form is:

10858 = 2¹ × 61¹ × 89¹

Step-3: Factors of 10838

List of positive integer factors of 10838 that divides 10838 without a remainder.

1, 2, 5419

Step-4: Factors of 10858

List of positive integer factors of 10858 that divides 10838 without a remainder.

1, 2, 61, 89, 122, 178, 5429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10838 and 10858. The biggest common factor number is the GCF number.
So the greatest common factor 10838 and 10858 is 2.

Also check out the Least Common Multiple of 10838 and 10858