What is the Greatest Common Factor of 65884 and 65896?

Greatest common factor (GCF) of 65884 and 65896 is 4.

GCF(65884,65896) = 4

We will now calculate the prime factors of 65884 and 65896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65884 and 65896.

How to find the GCF of 65884 and 65896?

We will first find the prime factorization of 65884 and 65896. After we will calculate the factors of 65884 and 65896 and find the biggest common factor number .

Step-1: Prime Factorization of 65884

Prime factors of 65884 are 2, 7, 13, 181. Prime factorization of 65884 in exponential form is:

65884 = 2² × 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 65896

Prime factors of 65896 are 2, 8237. Prime factorization of 65896 in exponential form is:

65896 = 2³ × 8237¹

Step-3: Factors of 65884

List of positive integer factors of 65884 that divides 65884 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 181, 182, 362, 364, 724, 1267, 2353, 2534, 4706, 5068, 9412, 16471, 32942

Step-4: Factors of 65896

List of positive integer factors of 65896 that divides 65884 without a remainder.

1, 2, 4, 8, 8237, 16474, 32948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65884 and 65896. The biggest common factor number is the GCF number.
So the greatest common factor 65884 and 65896 is 4.

Also check out the Least Common Multiple of 65884 and 65896