What is the Greatest Common Factor of 83769 and 83779?

Greatest common factor (GCF) of 83769 and 83779 is 1.

GCF(83769,83779) = 1

We will now calculate the prime factors of 83769 and 83779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83769 and 83779.

How to find the GCF of 83769 and 83779?

We will first find the prime factorization of 83769 and 83779. After we will calculate the factors of 83769 and 83779 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83779

Prime factors of 83779 are 199, 421. Prime factorization of 83779 in exponential form is:

83779 = 199¹ × 421¹

Step-3: Factors of 83769

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

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

Step-4: Factors of 83779

List of positive integer factors of 83779 that divides 83769 without a remainder.

1, 199, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83769 and 83779. The biggest common factor number is the GCF number.
So the greatest common factor 83769 and 83779 is 1.

Also check out the Least Common Multiple of 83769 and 83779