What is the Greatest Common Factor of 83784 and 83797?

Greatest common factor (GCF) of 83784 and 83797 is 1.

GCF(83784,83797) = 1

We will now calculate the prime factors of 83784 and 83797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83784 and 83797.

How to find the GCF of 83784 and 83797?

We will first find the prime factorization of 83784 and 83797. After we will calculate the factors of 83784 and 83797 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83797

Prime factors of 83797 are 7, 11971. Prime factorization of 83797 in exponential form is:

83797 = 7¹ × 11971¹

Step-3: Factors of 83784

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

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

Step-4: Factors of 83797

List of positive integer factors of 83797 that divides 83784 without a remainder.

1, 7, 11971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83784 and 83797. The biggest common factor number is the GCF number.
So the greatest common factor 83784 and 83797 is 1.

Also check out the Least Common Multiple of 83784 and 83797