What is the Greatest Common Factor of 83296 and 83307?

Greatest common factor (GCF) of 83296 and 83307 is 1.

GCF(83296,83307) = 1

We will now calculate the prime factors of 83296 and 83307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83296 and 83307.

How to find the GCF of 83296 and 83307?

We will first find the prime factorization of 83296 and 83307. After we will calculate the factors of 83296 and 83307 and find the biggest common factor number .

Step-1: Prime Factorization of 83296

Prime factors of 83296 are 2, 19, 137. Prime factorization of 83296 in exponential form is:

83296 = 2⁵ × 19¹ × 137¹

Step-2: Prime Factorization of 83307

Prime factors of 83307 are 3, 7, 3967. Prime factorization of 83307 in exponential form is:

83307 = 3¹ × 7¹ × 3967¹

Step-3: Factors of 83296

List of positive integer factors of 83296 that divides 83296 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 137, 152, 274, 304, 548, 608, 1096, 2192, 2603, 4384, 5206, 10412, 20824, 41648

Step-4: Factors of 83307

List of positive integer factors of 83307 that divides 83296 without a remainder.

1, 3, 7, 21, 3967, 11901, 27769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83296 and 83307. The biggest common factor number is the GCF number.
So the greatest common factor 83296 and 83307 is 1.

Also check out the Least Common Multiple of 83296 and 83307