What is the Greatest Common Factor of 68804 and 68809?

Greatest common factor (GCF) of 68804 and 68809 is 1.

GCF(68804,68809) = 1

We will now calculate the prime factors of 68804 and 68809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68804 and 68809.

How to find the GCF of 68804 and 68809?

We will first find the prime factorization of 68804 and 68809. After we will calculate the factors of 68804 and 68809 and find the biggest common factor number .

Step-1: Prime Factorization of 68804

Prime factors of 68804 are 2, 103, 167. Prime factorization of 68804 in exponential form is:

68804 = 2² × 103¹ × 167¹

Step-2: Prime Factorization of 68809

Prime factors of 68809 are 13, 67, 79. Prime factorization of 68809 in exponential form is:

68809 = 13¹ × 67¹ × 79¹

Step-3: Factors of 68804

List of positive integer factors of 68804 that divides 68804 without a remainder.

1, 2, 4, 103, 167, 206, 334, 412, 668, 17201, 34402

Step-4: Factors of 68809

List of positive integer factors of 68809 that divides 68804 without a remainder.

1, 13, 67, 79, 871, 1027, 5293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68804 and 68809. The biggest common factor number is the GCF number.
So the greatest common factor 68804 and 68809 is 1.

Also check out the Least Common Multiple of 68804 and 68809