What is the Greatest Common Factor of 66823 and 66842?

Greatest common factor (GCF) of 66823 and 66842 is 19.

GCF(66823,66842) = 19

We will now calculate the prime factors of 66823 and 66842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66823 and 66842.

How to find the GCF of 66823 and 66842?

We will first find the prime factorization of 66823 and 66842. After we will calculate the factors of 66823 and 66842 and find the biggest common factor number .

Step-1: Prime Factorization of 66823

Prime factors of 66823 are 19, 3517. Prime factorization of 66823 in exponential form is:

66823 = 19¹ × 3517¹

Step-2: Prime Factorization of 66842

Prime factors of 66842 are 2, 19, 1759. Prime factorization of 66842 in exponential form is:

66842 = 2¹ × 19¹ × 1759¹

Step-3: Factors of 66823

List of positive integer factors of 66823 that divides 66823 without a remainder.

1, 19, 3517

Step-4: Factors of 66842

List of positive integer factors of 66842 that divides 66823 without a remainder.

1, 2, 19, 38, 1759, 3518, 33421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66823 and 66842. The biggest common factor number is the GCF number.
So the greatest common factor 66823 and 66842 is 19.

Also check out the Least Common Multiple of 66823 and 66842