What is the Greatest Common Factor of 70785 and 70804?

Greatest common factor (GCF) of 70785 and 70804 is 1.

GCF(70785,70804) = 1

We will now calculate the prime factors of 70785 and 70804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70785 and 70804.

How to find the GCF of 70785 and 70804?

We will first find the prime factorization of 70785 and 70804. After we will calculate the factors of 70785 and 70804 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 70804

Prime factors of 70804 are 2, 31, 571. Prime factorization of 70804 in exponential form is:

70804 = 2² × 31¹ × 571¹

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 70804

List of positive integer factors of 70804 that divides 70785 without a remainder.

1, 2, 4, 31, 62, 124, 571, 1142, 2284, 17701, 35402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70785 and 70804. The biggest common factor number is the GCF number.
So the greatest common factor 70785 and 70804 is 1.

Also check out the Least Common Multiple of 70785 and 70804