What is the Greatest Common Factor of 83742 and 83747?

Greatest common factor (GCF) of 83742 and 83747 is 1.

GCF(83742,83747) = 1

We will now calculate the prime factors of 83742 and 83747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83742 and 83747.

How to find the GCF of 83742 and 83747?

We will first find the prime factorization of 83742 and 83747. After we will calculate the factors of 83742 and 83747 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83747

Prime factors of 83747 are 83, 1009. Prime factorization of 83747 in exponential form is:

83747 = 83¹ × 1009¹

Step-3: Factors of 83742

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

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

Step-4: Factors of 83747

List of positive integer factors of 83747 that divides 83742 without a remainder.

1, 83, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83742 and 83747. The biggest common factor number is the GCF number.
So the greatest common factor 83742 and 83747 is 1.

Also check out the Least Common Multiple of 83742 and 83747