What is the Greatest Common Factor of 70785 and 70805?

Greatest common factor (GCF) of 70785 and 70805 is 5.

GCF(70785,70805) = 5

We will now calculate the prime factors of 70785 and 70805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70785 and 70805.

How to find the GCF of 70785 and 70805?

We will first find the prime factorization of 70785 and 70805. After we will calculate the factors of 70785 and 70805 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 70805

Prime factors of 70805 are 5, 7, 17. Prime factorization of 70805 in exponential form is:

70805 = 5¹ × 7² × 17²

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 70805

List of positive integer factors of 70805 that divides 70785 without a remainder.

1, 5, 7, 17, 35, 49, 85, 119, 245, 289, 595, 833, 1445, 2023, 4165, 10115, 14161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70785 and 70805. The biggest common factor number is the GCF number.
So the greatest common factor 70785 and 70805 is 5.

Also check out the Least Common Multiple of 70785 and 70805