What is the Greatest Common Factor of 70788 and 70797?

Greatest common factor (GCF) of 70788 and 70797 is 3.

GCF(70788,70797) = 3

We will now calculate the prime factors of 70788 and 70797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70788 and 70797.

How to find the GCF of 70788 and 70797?

We will first find the prime factorization of 70788 and 70797. After we will calculate the factors of 70788 and 70797 and find the biggest common factor number .

Step-1: Prime Factorization of 70788

Prime factors of 70788 are 2, 3, 17, 347. Prime factorization of 70788 in exponential form is:

70788 = 2² × 3¹ × 17¹ × 347¹

Step-2: Prime Factorization of 70797

Prime factors of 70797 are 3, 23599. Prime factorization of 70797 in exponential form is:

70797 = 3¹ × 23599¹

Step-3: Factors of 70788

List of positive integer factors of 70788 that divides 70788 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 347, 694, 1041, 1388, 2082, 4164, 5899, 11798, 17697, 23596, 35394

Step-4: Factors of 70797

List of positive integer factors of 70797 that divides 70788 without a remainder.

1, 3, 23599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70788 and 70797. The biggest common factor number is the GCF number.
So the greatest common factor 70788 and 70797 is 3.

Also check out the Least Common Multiple of 70788 and 70797