What is the Greatest Common Factor of 65872 and 65878?

Greatest common factor (GCF) of 65872 and 65878 is 2.

GCF(65872,65878) = 2

We will now calculate the prime factors of 65872 and 65878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65872 and 65878.

How to find the GCF of 65872 and 65878?

We will first find the prime factorization of 65872 and 65878. After we will calculate the factors of 65872 and 65878 and find the biggest common factor number .

Step-1: Prime Factorization of 65872

Prime factors of 65872 are 2, 23, 179. Prime factorization of 65872 in exponential form is:

65872 = 2⁴ × 23¹ × 179¹

Step-2: Prime Factorization of 65878

Prime factors of 65878 are 2, 32939. Prime factorization of 65878 in exponential form is:

65878 = 2¹ × 32939¹

Step-3: Factors of 65872

List of positive integer factors of 65872 that divides 65872 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 179, 184, 358, 368, 716, 1432, 2864, 4117, 8234, 16468, 32936

Step-4: Factors of 65878

List of positive integer factors of 65878 that divides 65872 without a remainder.

1, 2, 32939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65872 and 65878. The biggest common factor number is the GCF number.
So the greatest common factor 65872 and 65878 is 2.

Also check out the Least Common Multiple of 65872 and 65878