What is the Greatest Common Factor of 83872 and 83884?

Greatest common factor (GCF) of 83872 and 83884 is 4.

GCF(83872,83884) = 4

We will now calculate the prime factors of 83872 and 83884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83872 and 83884.

How to find the GCF of 83872 and 83884?

We will first find the prime factorization of 83872 and 83884. After we will calculate the factors of 83872 and 83884 and find the biggest common factor number .

Step-1: Prime Factorization of 83872

Prime factors of 83872 are 2, 2621. Prime factorization of 83872 in exponential form is:

83872 = 2⁵ × 2621¹

Step-2: 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-3: Factors of 83872

List of positive integer factors of 83872 that divides 83872 without a remainder.

1, 2, 4, 8, 16, 32, 2621, 5242, 10484, 20968, 41936

Step-4: Factors of 83884

List of positive integer factors of 83884 that divides 83872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83872 and 83884. The biggest common factor number is the GCF number.
So the greatest common factor 83872 and 83884 is 4.

Also check out the Least Common Multiple of 83872 and 83884