What is the Greatest Common Factor of 65875 and 65886?

Greatest common factor (GCF) of 65875 and 65886 is 1.

GCF(65875,65886) = 1

We will now calculate the prime factors of 65875 and 65886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65875 and 65886.

How to find the GCF of 65875 and 65886?

We will first find the prime factorization of 65875 and 65886. After we will calculate the factors of 65875 and 65886 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 65886

Prime factors of 65886 are 2, 3, 79, 139. Prime factorization of 65886 in exponential form is:

65886 = 2¹ × 3¹ × 79¹ × 139¹

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 65886

List of positive integer factors of 65886 that divides 65875 without a remainder.

1, 2, 3, 6, 79, 139, 158, 237, 278, 417, 474, 834, 10981, 21962, 32943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65875 and 65886. The biggest common factor number is the GCF number.
So the greatest common factor 65875 and 65886 is 1.

Also check out the Least Common Multiple of 65875 and 65886