What is the Greatest Common Factor of 70788 and 70803?

Greatest common factor (GCF) of 70788 and 70803 is 3.

GCF(70788,70803) = 3

We will now calculate the prime factors of 70788 and 70803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70788 and 70803.

How to find the GCF of 70788 and 70803?

We will first find the prime factorization of 70788 and 70803. After we will calculate the factors of 70788 and 70803 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 70803

Prime factors of 70803 are 3, 7867. Prime factorization of 70803 in exponential form is:

70803 = 3² × 7867¹

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 70803

List of positive integer factors of 70803 that divides 70788 without a remainder.

1, 3, 9, 7867, 23601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70788 and 70803. The biggest common factor number is the GCF number.
So the greatest common factor 70788 and 70803 is 3.

Also check out the Least Common Multiple of 70788 and 70803