What is the Greatest Common Factor of 66865 and 66875?

Greatest common factor (GCF) of 66865 and 66875 is 5.

GCF(66865,66875) = 5

We will now calculate the prime factors of 66865 and 66875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66865 and 66875.

How to find the GCF of 66865 and 66875?

We will first find the prime factorization of 66865 and 66875. After we will calculate the factors of 66865 and 66875 and find the biggest common factor number .

Step-1: Prime Factorization of 66865

Prime factors of 66865 are 5, 43, 311. Prime factorization of 66865 in exponential form is:

66865 = 5¹ × 43¹ × 311¹

Step-2: Prime Factorization of 66875

Prime factors of 66875 are 5, 107. Prime factorization of 66875 in exponential form is:

66875 = 5⁴ × 107¹

Step-3: Factors of 66865

List of positive integer factors of 66865 that divides 66865 without a remainder.

1, 5, 43, 215, 311, 1555, 13373

Step-4: Factors of 66875

List of positive integer factors of 66875 that divides 66865 without a remainder.

1, 5, 25, 107, 125, 535, 625, 2675, 13375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66865 and 66875. The biggest common factor number is the GCF number.
So the greatest common factor 66865 and 66875 is 5.

Also check out the Least Common Multiple of 66865 and 66875