What is the Greatest Common Factor of 83336 and 83347?

Greatest common factor (GCF) of 83336 and 83347 is 11.

GCF(83336,83347) = 11

We will now calculate the prime factors of 83336 and 83347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83336 and 83347.

How to find the GCF of 83336 and 83347?

We will first find the prime factorization of 83336 and 83347. After we will calculate the factors of 83336 and 83347 and find the biggest common factor number .

Step-1: Prime Factorization of 83336

Prime factors of 83336 are 2, 11, 947. Prime factorization of 83336 in exponential form is:

83336 = 2³ × 11¹ × 947¹

Step-2: Prime Factorization of 83347

Prime factors of 83347 are 11, 7577. Prime factorization of 83347 in exponential form is:

83347 = 11¹ × 7577¹

Step-3: Factors of 83336

List of positive integer factors of 83336 that divides 83336 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 947, 1894, 3788, 7576, 10417, 20834, 41668

Step-4: Factors of 83347

List of positive integer factors of 83347 that divides 83336 without a remainder.

1, 11, 7577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83336 and 83347. The biggest common factor number is the GCF number.
So the greatest common factor 83336 and 83347 is 11.

Also check out the Least Common Multiple of 83336 and 83347