What is the Greatest Common Factor of 66858 and 66869?

Greatest common factor (GCF) of 66858 and 66869 is 11.

GCF(66858,66869) = 11

We will now calculate the prime factors of 66858 and 66869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66858 and 66869.

How to find the GCF of 66858 and 66869?

We will first find the prime factorization of 66858 and 66869. After we will calculate the factors of 66858 and 66869 and find the biggest common factor number .

Step-1: Prime Factorization of 66858

Prime factors of 66858 are 2, 3, 11, 1013. Prime factorization of 66858 in exponential form is:

66858 = 2¹ × 3¹ × 11¹ × 1013¹

Step-2: Prime Factorization of 66869

Prime factors of 66869 are 11, 6079. Prime factorization of 66869 in exponential form is:

66869 = 11¹ × 6079¹

Step-3: Factors of 66858

List of positive integer factors of 66858 that divides 66858 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1013, 2026, 3039, 6078, 11143, 22286, 33429

Step-4: Factors of 66869

List of positive integer factors of 66869 that divides 66858 without a remainder.

1, 11, 6079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66858 and 66869. The biggest common factor number is the GCF number.
So the greatest common factor 66858 and 66869 is 11.

Also check out the Least Common Multiple of 66858 and 66869