What is the Greatest Common Factor of 83884 and 83902?

Greatest common factor (GCF) of 83884 and 83902 is 2.

GCF(83884,83902) = 2

We will now calculate the prime factors of 83884 and 83902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83884 and 83902.

How to find the GCF of 83884 and 83902?

We will first find the prime factorization of 83884 and 83902. After we will calculate the factors of 83884 and 83902 and find the biggest common factor number .

Step-1: Prime Factorization of 83884

Prime factors of 83884 are 2, 67, 313. Prime factorization of 83884 in exponential form is:

83884 = 2² × 67¹ × 313¹

Step-2: Prime Factorization of 83902

Prime factors of 83902 are 2, 7, 13, 461. Prime factorization of 83902 in exponential form is:

83902 = 2¹ × 7¹ × 13¹ × 461¹

Step-3: Factors of 83884

List of positive integer factors of 83884 that divides 83884 without a remainder.

1, 2, 4, 67, 134, 268, 313, 626, 1252, 20971, 41942

Step-4: Factors of 83902

List of positive integer factors of 83902 that divides 83884 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 461, 922, 3227, 5993, 6454, 11986, 41951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83884 and 83902. The biggest common factor number is the GCF number.
So the greatest common factor 83884 and 83902 is 2.

Also check out the Least Common Multiple of 83884 and 83902