What is the Greatest Common Factor of 70779 and 70785?

Greatest common factor (GCF) of 70779 and 70785 is 3.

GCF(70779,70785) = 3

We will now calculate the prime factors of 70779 and 70785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70779 and 70785.

How to find the GCF of 70779 and 70785?

We will first find the prime factorization of 70779 and 70785. After we will calculate the factors of 70779 and 70785 and find the biggest common factor number .

Step-1: Prime Factorization of 70779

Prime factors of 70779 are 3, 23593. Prime factorization of 70779 in exponential form is:

70779 = 3¹ × 23593¹

Step-2: 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-3: Factors of 70779

List of positive integer factors of 70779 that divides 70779 without a remainder.

1, 3, 23593

Step-4: Factors of 70785

List of positive integer factors of 70785 that divides 70779 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70779 and 70785. The biggest common factor number is the GCF number.
So the greatest common factor 70779 and 70785 is 3.

Also check out the Least Common Multiple of 70779 and 70785