What is the Greatest Common Factor of 83769 and 83784?

Greatest common factor (GCF) of 83769 and 83784 is 3.

GCF(83769,83784) = 3

We will now calculate the prime factors of 83769 and 83784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83769 and 83784.

How to find the GCF of 83769 and 83784?

We will first find the prime factorization of 83769 and 83784. After we will calculate the factors of 83769 and 83784 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 83784

Prime factors of 83784 are 2, 3, 3491. Prime factorization of 83784 in exponential form is:

83784 = 2³ × 3¹ × 3491¹

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 83784

List of positive integer factors of 83784 that divides 83769 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3491, 6982, 10473, 13964, 20946, 27928, 41892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83769 and 83784. The biggest common factor number is the GCF number.
So the greatest common factor 83769 and 83784 is 3.

Also check out the Least Common Multiple of 83769 and 83784