What is the Greatest Common Factor of 10804 and 10819?

Greatest common factor (GCF) of 10804 and 10819 is 1.

GCF(10804,10819) = 1

We will now calculate the prime factors of 10804 and 10819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10804 and 10819.

How to find the GCF of 10804 and 10819?

We will first find the prime factorization of 10804 and 10819. After we will calculate the factors of 10804 and 10819 and find the biggest common factor number .

Step-1: Prime Factorization of 10804

Prime factors of 10804 are 2, 37, 73. Prime factorization of 10804 in exponential form is:

10804 = 2² × 37¹ × 73¹

Step-2: Prime Factorization of 10819

Prime factors of 10819 are 31, 349. Prime factorization of 10819 in exponential form is:

10819 = 31¹ × 349¹

Step-3: Factors of 10804

List of positive integer factors of 10804 that divides 10804 without a remainder.

1, 2, 4, 37, 73, 74, 146, 148, 292, 2701, 5402

Step-4: Factors of 10819

List of positive integer factors of 10819 that divides 10804 without a remainder.

1, 31, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10804 and 10819. The biggest common factor number is the GCF number.
So the greatest common factor 10804 and 10819 is 1.

Also check out the Least Common Multiple of 10804 and 10819