What is the Greatest Common Factor of 70803 and 70818?

Greatest common factor (GCF) of 70803 and 70818 is 3.

GCF(70803,70818) = 3

We will now calculate the prime factors of 70803 and 70818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70803 and 70818.

How to find the GCF of 70803 and 70818?

We will first find the prime factorization of 70803 and 70818. After we will calculate the factors of 70803 and 70818 and find the biggest common factor number .

Step-1: Prime Factorization of 70803

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

70803 = 3² × 7867¹

Step-2: Prime Factorization of 70818

Prime factors of 70818 are 2, 3, 11, 29, 37. Prime factorization of 70818 in exponential form is:

70818 = 2¹ × 3¹ × 11¹ × 29¹ × 37¹

Step-3: Factors of 70803

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

1, 3, 9, 7867, 23601

Step-4: Factors of 70818

List of positive integer factors of 70818 that divides 70803 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 37, 58, 66, 74, 87, 111, 174, 222, 319, 407, 638, 814, 957, 1073, 1221, 1914, 2146, 2442, 3219, 6438, 11803, 23606, 35409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70803 and 70818. The biggest common factor number is the GCF number.
So the greatest common factor 70803 and 70818 is 3.

Also check out the Least Common Multiple of 70803 and 70818