What is the Greatest Common Factor of 83785 and 83804?

Greatest common factor (GCF) of 83785 and 83804 is 1.

GCF(83785,83804) = 1

We will now calculate the prime factors of 83785 and 83804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83785 and 83804.

How to find the GCF of 83785 and 83804?

We will first find the prime factorization of 83785 and 83804. After we will calculate the factors of 83785 and 83804 and find the biggest common factor number .

Step-1: Prime Factorization of 83785

Prime factors of 83785 are 5, 13, 1289. Prime factorization of 83785 in exponential form is:

83785 = 5¹ × 13¹ × 1289¹

Step-2: 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-3: Factors of 83785

List of positive integer factors of 83785 that divides 83785 without a remainder.

1, 5, 13, 65, 1289, 6445, 16757

Step-4: Factors of 83804

List of positive integer factors of 83804 that divides 83785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83785 and 83804. The biggest common factor number is the GCF number.
So the greatest common factor 83785 and 83804 is 1.

Also check out the Least Common Multiple of 83785 and 83804