What is the Greatest Common Factor of 83742 and 83753?

Greatest common factor (GCF) of 83742 and 83753 is 1.

GCF(83742,83753) = 1

We will now calculate the prime factors of 83742 and 83753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83742 and 83753.

How to find the GCF of 83742 and 83753?

We will first find the prime factorization of 83742 and 83753. After we will calculate the factors of 83742 and 83753 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 83753

Prime factors of 83753 are 61, 1373. Prime factorization of 83753 in exponential form is:

83753 = 61¹ × 1373¹

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 83753

List of positive integer factors of 83753 that divides 83742 without a remainder.

1, 61, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83742 and 83753. The biggest common factor number is the GCF number.
So the greatest common factor 83742 and 83753 is 1.

Also check out the Least Common Multiple of 83742 and 83753