What is the Greatest Common Factor of 70770 and 70779?

Greatest common factor (GCF) of 70770 and 70779 is 3.

GCF(70770,70779) = 3

We will now calculate the prime factors of 70770 and 70779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70770 and 70779.

How to find the GCF of 70770 and 70779?

We will first find the prime factorization of 70770 and 70779. After we will calculate the factors of 70770 and 70779 and find the biggest common factor number .

Step-1: Prime Factorization of 70770

Prime factors of 70770 are 2, 3, 5, 7, 337. Prime factorization of 70770 in exponential form is:

70770 = 2¹ × 3¹ × 5¹ × 7¹ × 337¹

Step-2: Prime Factorization of 70779

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

70779 = 3¹ × 23593¹

Step-3: Factors of 70770

List of positive integer factors of 70770 that divides 70770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 337, 674, 1011, 1685, 2022, 2359, 3370, 4718, 5055, 7077, 10110, 11795, 14154, 23590, 35385

Step-4: Factors of 70779

List of positive integer factors of 70779 that divides 70770 without a remainder.

1, 3, 23593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70770 and 70779. The biggest common factor number is the GCF number.
So the greatest common factor 70770 and 70779 is 3.

Also check out the Least Common Multiple of 70770 and 70779