What is the Greatest Common Factor of 10820 and 10838?

Greatest common factor (GCF) of 10820 and 10838 is 2.

GCF(10820,10838) = 2

We will now calculate the prime factors of 10820 and 10838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10820 and 10838.

How to find the GCF of 10820 and 10838?

We will first find the prime factorization of 10820 and 10838. After we will calculate the factors of 10820 and 10838 and find the biggest common factor number .

Step-1: Prime Factorization of 10820

Prime factors of 10820 are 2, 5, 541. Prime factorization of 10820 in exponential form is:

10820 = 2² × 5¹ × 541¹

Step-2: Prime Factorization of 10838

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

10838 = 2¹ × 5419¹

Step-3: Factors of 10820

List of positive integer factors of 10820 that divides 10820 without a remainder.

1, 2, 4, 5, 10, 20, 541, 1082, 2164, 2705, 5410

Step-4: Factors of 10838

List of positive integer factors of 10838 that divides 10820 without a remainder.

1, 2, 5419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10820 and 10838. The biggest common factor number is the GCF number.
So the greatest common factor 10820 and 10838 is 2.

Also check out the Least Common Multiple of 10820 and 10838