What is the Greatest Common Factor of 83674 and 83685?

Greatest common factor (GCF) of 83674 and 83685 is 1.

GCF(83674,83685) = 1

We will now calculate the prime factors of 83674 and 83685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83674 and 83685.

How to find the GCF of 83674 and 83685?

We will first find the prime factorization of 83674 and 83685. After we will calculate the factors of 83674 and 83685 and find the biggest common factor number .

Step-1: Prime Factorization of 83674

Prime factors of 83674 are 2, 17, 23, 107. Prime factorization of 83674 in exponential form is:

83674 = 2¹ × 17¹ × 23¹ × 107¹

Step-2: Prime Factorization of 83685

Prime factors of 83685 are 3, 5, 7, 797. Prime factorization of 83685 in exponential form is:

83685 = 3¹ × 5¹ × 7¹ × 797¹

Step-3: Factors of 83674

List of positive integer factors of 83674 that divides 83674 without a remainder.

1, 2, 17, 23, 34, 46, 107, 214, 391, 782, 1819, 2461, 3638, 4922, 41837

Step-4: Factors of 83685

List of positive integer factors of 83685 that divides 83674 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 797, 2391, 3985, 5579, 11955, 16737, 27895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83674 and 83685. The biggest common factor number is the GCF number.
So the greatest common factor 83674 and 83685 is 1.

Also check out the Least Common Multiple of 83674 and 83685