What is the Greatest Common Factor of 83993 and 84008?

Greatest common factor (GCF) of 83993 and 84008 is 1.

GCF(83993,84008) = 1

We will now calculate the prime factors of 83993 and 84008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83993 and 84008.

How to find the GCF of 83993 and 84008?

We will first find the prime factorization of 83993 and 84008. After we will calculate the factors of 83993 and 84008 and find the biggest common factor number .

Step-1: Prime Factorization of 83993

Prime factors of 83993 are 7, 13, 71. Prime factorization of 83993 in exponential form is:

83993 = 7¹ × 13² × 71¹

Step-2: Prime Factorization of 84008

Prime factors of 84008 are 2, 10501. Prime factorization of 84008 in exponential form is:

84008 = 2³ × 10501¹

Step-3: Factors of 83993

List of positive integer factors of 83993 that divides 83993 without a remainder.

1, 7, 13, 71, 91, 169, 497, 923, 1183, 6461, 11999

Step-4: Factors of 84008

List of positive integer factors of 84008 that divides 83993 without a remainder.

1, 2, 4, 8, 10501, 21002, 42004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83993 and 84008. The biggest common factor number is the GCF number.
So the greatest common factor 83993 and 84008 is 1.

Also check out the Least Common Multiple of 83993 and 84008