What is the Greatest Common Factor of 70804 and 70823?

Greatest common factor (GCF) of 70804 and 70823 is 1.

GCF(70804,70823) = 1

We will now calculate the prime factors of 70804 and 70823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70804 and 70823.

How to find the GCF of 70804 and 70823?

We will first find the prime factorization of 70804 and 70823. After we will calculate the factors of 70804 and 70823 and find the biggest common factor number .

Step-1: Prime Factorization of 70804

Prime factors of 70804 are 2, 31, 571. Prime factorization of 70804 in exponential form is:

70804 = 2² × 31¹ × 571¹

Step-2: Prime Factorization of 70823

Prime factors of 70823 are 70823. Prime factorization of 70823 in exponential form is:

70823 = 70823¹

Step-3: Factors of 70804

List of positive integer factors of 70804 that divides 70804 without a remainder.

1, 2, 4, 31, 62, 124, 571, 1142, 2284, 17701, 35402

Step-4: Factors of 70823

List of positive integer factors of 70823 that divides 70804 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70804 and 70823. The biggest common factor number is the GCF number.
So the greatest common factor 70804 and 70823 is 1.

Also check out the Least Common Multiple of 70804 and 70823