What is the Greatest Common Factor of 83872 and 83876?

Greatest common factor (GCF) of 83872 and 83876 is 4.

GCF(83872,83876) = 4

We will now calculate the prime factors of 83872 and 83876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83872 and 83876.

How to find the GCF of 83872 and 83876?

We will first find the prime factorization of 83872 and 83876. After we will calculate the factors of 83872 and 83876 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 83876

Prime factors of 83876 are 2, 13, 1613. Prime factorization of 83876 in exponential form is:

83876 = 2² × 13¹ × 1613¹

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 83876

List of positive integer factors of 83876 that divides 83872 without a remainder.

1, 2, 4, 13, 26, 52, 1613, 3226, 6452, 20969, 41938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83872 and 83876. The biggest common factor number is the GCF number.
So the greatest common factor 83872 and 83876 is 4.

Also check out the Least Common Multiple of 83872 and 83876