What is the Greatest Common Factor of 70785 and 70798?

Greatest common factor (GCF) of 70785 and 70798 is 13.

GCF(70785,70798) = 13

We will now calculate the prime factors of 70785 and 70798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70785 and 70798.

How to find the GCF of 70785 and 70798?

We will first find the prime factorization of 70785 and 70798. After we will calculate the factors of 70785 and 70798 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 70798

Prime factors of 70798 are 2, 7, 13, 389. Prime factorization of 70798 in exponential form is:

70798 = 2¹ × 7¹ × 13¹ × 389¹

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 70798

List of positive integer factors of 70798 that divides 70785 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 389, 778, 2723, 5057, 5446, 10114, 35399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70785 and 70798. The biggest common factor number is the GCF number.
So the greatest common factor 70785 and 70798 is 13.

Also check out the Least Common Multiple of 70785 and 70798