What is the Greatest Common Factor of 83804 and 83814?

Greatest common factor (GCF) of 83804 and 83814 is 2.

GCF(83804,83814) = 2

We will now calculate the prime factors of 83804 and 83814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83804 and 83814.

How to find the GCF of 83804 and 83814?

We will first find the prime factorization of 83804 and 83814. After we will calculate the factors of 83804 and 83814 and find the biggest common factor number .

Step-1: Prime Factorization of 83804

Prime factors of 83804 are 2, 7, 41, 73. Prime factorization of 83804 in exponential form is:

83804 = 2² × 7¹ × 41¹ × 73¹

Step-2: Prime Factorization of 83814

Prime factors of 83814 are 2, 3, 61, 229. Prime factorization of 83814 in exponential form is:

83814 = 2¹ × 3¹ × 61¹ × 229¹

Step-3: Factors of 83804

List of positive integer factors of 83804 that divides 83804 without a remainder.

1, 2, 4, 7, 14, 28, 41, 73, 82, 146, 164, 287, 292, 511, 574, 1022, 1148, 2044, 2993, 5986, 11972, 20951, 41902

Step-4: Factors of 83814

List of positive integer factors of 83814 that divides 83804 without a remainder.

1, 2, 3, 6, 61, 122, 183, 229, 366, 458, 687, 1374, 13969, 27938, 41907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83804 and 83814. The biggest common factor number is the GCF number.
So the greatest common factor 83804 and 83814 is 2.

Also check out the Least Common Multiple of 83804 and 83814