What is the Greatest Common Factor of 83759 and 83769?

Greatest common factor (GCF) of 83759 and 83769 is 1.

GCF(83759,83769) = 1

We will now calculate the prime factors of 83759 and 83769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83759 and 83769.

How to find the GCF of 83759 and 83769?

We will first find the prime factorization of 83759 and 83769. After we will calculate the factors of 83759 and 83769 and find the biggest common factor number .

Step-1: Prime Factorization of 83759

Prime factors of 83759 are 13, 17, 379. Prime factorization of 83759 in exponential form is:

83759 = 13¹ × 17¹ × 379¹

Step-2: Prime Factorization of 83769

Prime factors of 83769 are 3, 7, 3989. Prime factorization of 83769 in exponential form is:

83769 = 3¹ × 7¹ × 3989¹

Step-3: Factors of 83759

List of positive integer factors of 83759 that divides 83759 without a remainder.

1, 13, 17, 221, 379, 4927, 6443

Step-4: Factors of 83769

List of positive integer factors of 83769 that divides 83759 without a remainder.

1, 3, 7, 21, 3989, 11967, 27923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83759 and 83769. The biggest common factor number is the GCF number.
So the greatest common factor 83759 and 83769 is 1.

Also check out the Least Common Multiple of 83759 and 83769