What is the Greatest Common Factor of 70785 and 70794?

Greatest common factor (GCF) of 70785 and 70794 is 9.

GCF(70785,70794) = 9

We will now calculate the prime factors of 70785 and 70794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70785 and 70794.

How to find the GCF of 70785 and 70794?

We will first find the prime factorization of 70785 and 70794. After we will calculate the factors of 70785 and 70794 and find the biggest common factor number .

Step-1: Prime Factorization of 70785

Prime factors of 70785 are 3, 5, 11, 13. Prime factorization of 70785 in exponential form is:

70785 = 3² × 5¹ × 11² × 13¹

Step-2: 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-3: Factors of 70785

List of positive integer factors of 70785 that divides 70785 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 121, 143, 165, 195, 363, 429, 495, 585, 605, 715, 1089, 1287, 1573, 1815, 2145, 4719, 5445, 6435, 7865, 14157, 23595

Step-4: Factors of 70794

List of positive integer factors of 70794 that divides 70785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70785 and 70794. The biggest common factor number is the GCF number.
So the greatest common factor 70785 and 70794 is 9.

Also check out the Least Common Multiple of 70785 and 70794