What is the Greatest Common Factor of 83670 and 83690?

Greatest common factor (GCF) of 83670 and 83690 is 10.

GCF(83670,83690) = 10

We will now calculate the prime factors of 83670 and 83690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83670 and 83690.

How to find the GCF of 83670 and 83690?

We will first find the prime factorization of 83670 and 83690. After we will calculate the factors of 83670 and 83690 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 83690

Prime factors of 83690 are 2, 5, 8369. Prime factorization of 83690 in exponential form is:

83690 = 2¹ × 5¹ × 8369¹

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 83690

List of positive integer factors of 83690 that divides 83670 without a remainder.

1, 2, 5, 10, 8369, 16738, 41845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83670 and 83690. The biggest common factor number is the GCF number.
So the greatest common factor 83670 and 83690 is 10.

Also check out the Least Common Multiple of 83670 and 83690