What is the Greatest Common Factor of 83884 and 83900?

Greatest common factor (GCF) of 83884 and 83900 is 4.

GCF(83884,83900) = 4

We will now calculate the prime factors of 83884 and 83900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83884 and 83900.

How to find the GCF of 83884 and 83900?

We will first find the prime factorization of 83884 and 83900. After we will calculate the factors of 83884 and 83900 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 83900

Prime factors of 83900 are 2, 5, 839. Prime factorization of 83900 in exponential form is:

83900 = 2² × 5² × 839¹

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 83900

List of positive integer factors of 83900 that divides 83884 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 839, 1678, 3356, 4195, 8390, 16780, 20975, 41950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83884 and 83900. The biggest common factor number is the GCF number.
So the greatest common factor 83884 and 83900 is 4.

Also check out the Least Common Multiple of 83884 and 83900