What is the Greatest Common Factor of 84884 and 84896?

Greatest common factor (GCF) of 84884 and 84896 is 4.

GCF(84884,84896) = 4

We will now calculate the prime factors of 84884 and 84896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84884 and 84896.

How to find the GCF of 84884 and 84896?

We will first find the prime factorization of 84884 and 84896. After we will calculate the factors of 84884 and 84896 and find the biggest common factor number .

Step-1: Prime Factorization of 84884

Prime factors of 84884 are 2, 21221. Prime factorization of 84884 in exponential form is:

84884 = 2² × 21221¹

Step-2: Prime Factorization of 84896

Prime factors of 84896 are 2, 7, 379. Prime factorization of 84896 in exponential form is:

84896 = 2⁵ × 7¹ × 379¹

Step-3: Factors of 84884

List of positive integer factors of 84884 that divides 84884 without a remainder.

1, 2, 4, 21221, 42442

Step-4: Factors of 84896

List of positive integer factors of 84896 that divides 84884 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 379, 758, 1516, 2653, 3032, 5306, 6064, 10612, 12128, 21224, 42448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84884 and 84896. The biggest common factor number is the GCF number.
So the greatest common factor 84884 and 84896 is 4.

Also check out the Least Common Multiple of 84884 and 84896