What is the Greatest Common Factor of 70785 and 70796?

Greatest common factor (GCF) of 70785 and 70796 is 11.

GCF(70785,70796) = 11

We will now calculate the prime factors of 70785 and 70796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70785 and 70796.

How to find the GCF of 70785 and 70796?

We will first find the prime factorization of 70785 and 70796. After we will calculate the factors of 70785 and 70796 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 70796

Prime factors of 70796 are 2, 11, 1609. Prime factorization of 70796 in exponential form is:

70796 = 2² × 11¹ × 1609¹

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 70796

List of positive integer factors of 70796 that divides 70785 without a remainder.

1, 2, 4, 11, 22, 44, 1609, 3218, 6436, 17699, 35398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70785 and 70796. The biggest common factor number is the GCF number.
So the greatest common factor 70785 and 70796 is 11.

Also check out the Least Common Multiple of 70785 and 70796