What is the Greatest Common Factor of 66875 and 66882?

Greatest common factor (GCF) of 66875 and 66882 is 1.

GCF(66875,66882) = 1

We will now calculate the prime factors of 66875 and 66882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66875 and 66882.

How to find the GCF of 66875 and 66882?

We will first find the prime factorization of 66875 and 66882. After we will calculate the factors of 66875 and 66882 and find the biggest common factor number .

Step-1: Prime Factorization of 66875

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

66875 = 5⁴ × 107¹

Step-2: Prime Factorization of 66882

Prime factors of 66882 are 2, 3, 71, 157. Prime factorization of 66882 in exponential form is:

66882 = 2¹ × 3¹ × 71¹ × 157¹

Step-3: Factors of 66875

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

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

Step-4: Factors of 66882

List of positive integer factors of 66882 that divides 66875 without a remainder.

1, 2, 3, 6, 71, 142, 157, 213, 314, 426, 471, 942, 11147, 22294, 33441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66875 and 66882. The biggest common factor number is the GCF number.
So the greatest common factor 66875 and 66882 is 1.

Also check out the Least Common Multiple of 66875 and 66882