What is the Greatest Common Factor of 70794 and 70809?

Greatest common factor (GCF) of 70794 and 70809 is 3.

GCF(70794,70809) = 3

We will now calculate the prime factors of 70794 and 70809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70794 and 70809.

How to find the GCF of 70794 and 70809?

We will first find the prime factorization of 70794 and 70809. After we will calculate the factors of 70794 and 70809 and find the biggest common factor number .

Step-1: Prime Factorization of 70794

Prime factors of 70794 are 2, 3, 19, 23. Prime factorization of 70794 in exponential form is:

70794 = 2¹ × 3⁴ × 19¹ × 23¹

Step-2: Prime Factorization of 70809

Prime factors of 70809 are 3, 23603. Prime factorization of 70809 in exponential form is:

70809 = 3¹ × 23603¹

Step-3: Factors of 70794

List of positive integer factors of 70794 that divides 70794 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 27, 38, 46, 54, 57, 69, 81, 114, 138, 162, 171, 207, 342, 414, 437, 513, 621, 874, 1026, 1242, 1311, 1539, 1863, 2622, 3078, 3726, 3933, 7866, 11799, 23598, 35397

Step-4: Factors of 70809

List of positive integer factors of 70809 that divides 70794 without a remainder.

1, 3, 23603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70794 and 70809. The biggest common factor number is the GCF number.
So the greatest common factor 70794 and 70809 is 3.

Also check out the Least Common Multiple of 70794 and 70809