What is the Greatest Common Factor of 66845 and 66855?

Greatest common factor (GCF) of 66845 and 66855 is 5.

GCF(66845,66855) = 5

We will now calculate the prime factors of 66845 and 66855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66845 and 66855.

How to find the GCF of 66845 and 66855?

We will first find the prime factorization of 66845 and 66855. After we will calculate the factors of 66845 and 66855 and find the biggest common factor number .

Step-1: Prime Factorization of 66845

Prime factors of 66845 are 5, 29, 461. Prime factorization of 66845 in exponential form is:

66845 = 5¹ × 29¹ × 461¹

Step-2: Prime Factorization of 66855

Prime factors of 66855 are 3, 5, 4457. Prime factorization of 66855 in exponential form is:

66855 = 3¹ × 5¹ × 4457¹

Step-3: Factors of 66845

List of positive integer factors of 66845 that divides 66845 without a remainder.

1, 5, 29, 145, 461, 2305, 13369

Step-4: Factors of 66855

List of positive integer factors of 66855 that divides 66845 without a remainder.

1, 3, 5, 15, 4457, 13371, 22285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66845 and 66855. The biggest common factor number is the GCF number.
So the greatest common factor 66845 and 66855 is 5.

Also check out the Least Common Multiple of 66845 and 66855