What is the Greatest Common Factor of 83670 and 83674?

Greatest common factor (GCF) of 83670 and 83674 is 2.

GCF(83670,83674) = 2

We will now calculate the prime factors of 83670 and 83674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83670 and 83674.

How to find the GCF of 83670 and 83674?

We will first find the prime factorization of 83670 and 83674. After we will calculate the factors of 83670 and 83674 and find the biggest common factor number .

Step-1: Prime Factorization of 83670

Prime factors of 83670 are 2, 3, 5, 2789. Prime factorization of 83670 in exponential form is:

83670 = 2¹ × 3¹ × 5¹ × 2789¹

Step-2: 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-3: Factors of 83670

List of positive integer factors of 83670 that divides 83670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2789, 5578, 8367, 13945, 16734, 27890, 41835

Step-4: Factors of 83674

List of positive integer factors of 83674 that divides 83670 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83670 and 83674. The biggest common factor number is the GCF number.
So the greatest common factor 83670 and 83674 is 2.

Also check out the Least Common Multiple of 83670 and 83674