What is the Greatest Common Factor of 83727 and 83742?

Greatest common factor (GCF) of 83727 and 83742 is 3.

GCF(83727,83742) = 3

We will now calculate the prime factors of 83727 and 83742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83727 and 83742.

How to find the GCF of 83727 and 83742?

We will first find the prime factorization of 83727 and 83742. After we will calculate the factors of 83727 and 83742 and find the biggest common factor number .

Step-1: Prime Factorization of 83727

Prime factors of 83727 are 3, 7, 443. Prime factorization of 83727 in exponential form is:

83727 = 3³ × 7¹ × 443¹

Step-2: Prime Factorization of 83742

Prime factors of 83742 are 2, 3, 17, 821. Prime factorization of 83742 in exponential form is:

83742 = 2¹ × 3¹ × 17¹ × 821¹

Step-3: Factors of 83727

List of positive integer factors of 83727 that divides 83727 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 443, 1329, 3101, 3987, 9303, 11961, 27909

Step-4: Factors of 83742

List of positive integer factors of 83742 that divides 83727 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 821, 1642, 2463, 4926, 13957, 27914, 41871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83727 and 83742. The biggest common factor number is the GCF number.
So the greatest common factor 83727 and 83742 is 3.

Also check out the Least Common Multiple of 83727 and 83742