What is the Greatest Common Factor of 65875 and 65879?

Greatest common factor (GCF) of 65875 and 65879 is 1.

GCF(65875,65879) = 1

We will now calculate the prime factors of 65875 and 65879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65875 and 65879.

How to find the GCF of 65875 and 65879?

We will first find the prime factorization of 65875 and 65879. After we will calculate the factors of 65875 and 65879 and find the biggest common factor number .

Step-1: Prime Factorization of 65875

Prime factors of 65875 are 5, 17, 31. Prime factorization of 65875 in exponential form is:

65875 = 5³ × 17¹ × 31¹

Step-2: Prime Factorization of 65879

Prime factors of 65879 are 11, 53, 113. Prime factorization of 65879 in exponential form is:

65879 = 11¹ × 53¹ × 113¹

Step-3: Factors of 65875

List of positive integer factors of 65875 that divides 65875 without a remainder.

1, 5, 17, 25, 31, 85, 125, 155, 425, 527, 775, 2125, 2635, 3875, 13175

Step-4: Factors of 65879

List of positive integer factors of 65879 that divides 65875 without a remainder.

1, 11, 53, 113, 583, 1243, 5989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65875 and 65879. The biggest common factor number is the GCF number.
So the greatest common factor 65875 and 65879 is 1.

Also check out the Least Common Multiple of 65875 and 65879