What is the Greatest Common Factor of 83112 and 83130?

Greatest common factor (GCF) of 83112 and 83130 is 6.

GCF(83112,83130) = 6

We will now calculate the prime factors of 83112 and 83130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83112 and 83130.

How to find the GCF of 83112 and 83130?

We will first find the prime factorization of 83112 and 83130. After we will calculate the factors of 83112 and 83130 and find the biggest common factor number .

Step-1: Prime Factorization of 83112

Prime factors of 83112 are 2, 3, 3463. Prime factorization of 83112 in exponential form is:

83112 = 2³ × 3¹ × 3463¹

Step-2: Prime Factorization of 83130

Prime factors of 83130 are 2, 3, 5, 17, 163. Prime factorization of 83130 in exponential form is:

83130 = 2¹ × 3¹ × 5¹ × 17¹ × 163¹

Step-3: Factors of 83112

List of positive integer factors of 83112 that divides 83112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3463, 6926, 10389, 13852, 20778, 27704, 41556

Step-4: Factors of 83130

List of positive integer factors of 83130 that divides 83112 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 163, 170, 255, 326, 489, 510, 815, 978, 1630, 2445, 2771, 4890, 5542, 8313, 13855, 16626, 27710, 41565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83112 and 83130. The biggest common factor number is the GCF number.
So the greatest common factor 83112 and 83130 is 6.

Also check out the Least Common Multiple of 83112 and 83130