What is the Greatest Common Factor of 83739 and 83744?

Greatest common factor (GCF) of 83739 and 83744 is 1.

GCF(83739,83744) = 1

We will now calculate the prime factors of 83739 and 83744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83739 and 83744.

How to find the GCF of 83739 and 83744?

We will first find the prime factorization of 83739 and 83744. After we will calculate the factors of 83739 and 83744 and find the biggest common factor number .

Step-1: Prime Factorization of 83739

Prime factors of 83739 are 3, 103, 271. Prime factorization of 83739 in exponential form is:

83739 = 3¹ × 103¹ × 271¹

Step-2: Prime Factorization of 83744

Prime factors of 83744 are 2, 2617. Prime factorization of 83744 in exponential form is:

83744 = 2⁵ × 2617¹

Step-3: Factors of 83739

List of positive integer factors of 83739 that divides 83739 without a remainder.

1, 3, 103, 271, 309, 813, 27913

Step-4: Factors of 83744

List of positive integer factors of 83744 that divides 83739 without a remainder.

1, 2, 4, 8, 16, 32, 2617, 5234, 10468, 20936, 41872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83739 and 83744. The biggest common factor number is the GCF number.
So the greatest common factor 83739 and 83744 is 1.

Also check out the Least Common Multiple of 83739 and 83744