What is the Greatest Common Factor of 65870 and 65884?

Greatest common factor (GCF) of 65870 and 65884 is 14.

GCF(65870,65884) = 14

We will now calculate the prime factors of 65870 and 65884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65870 and 65884.

How to find the GCF of 65870 and 65884?

We will first find the prime factorization of 65870 and 65884. After we will calculate the factors of 65870 and 65884 and find the biggest common factor number .

Step-1: Prime Factorization of 65870

Prime factors of 65870 are 2, 5, 7, 941. Prime factorization of 65870 in exponential form is:

65870 = 2¹ × 5¹ × 7¹ × 941¹

Step-2: 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-3: Factors of 65870

List of positive integer factors of 65870 that divides 65870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 941, 1882, 4705, 6587, 9410, 13174, 32935

Step-4: Factors of 65884

List of positive integer factors of 65884 that divides 65870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65870 and 65884. The biggest common factor number is the GCF number.
So the greatest common factor 65870 and 65884 is 14.

Also check out the Least Common Multiple of 65870 and 65884