What is the Greatest Common Factor of 65884 and 65898?

Greatest common factor (GCF) of 65884 and 65898 is 14.

GCF(65884,65898) = 14

We will now calculate the prime factors of 65884 and 65898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65884 and 65898.

How to find the GCF of 65884 and 65898?

We will first find the prime factorization of 65884 and 65898. After we will calculate the factors of 65884 and 65898 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 65898

Prime factors of 65898 are 2, 3, 7, 523. Prime factorization of 65898 in exponential form is:

65898 = 2¹ × 3² × 7¹ × 523¹

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 65898

List of positive integer factors of 65898 that divides 65884 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 523, 1046, 1569, 3138, 3661, 4707, 7322, 9414, 10983, 21966, 32949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65884 and 65898. The biggest common factor number is the GCF number.
So the greatest common factor 65884 and 65898 is 14.

Also check out the Least Common Multiple of 65884 and 65898