What is the Greatest Common Factor of 40803 and 40821?

Greatest common factor (GCF) of 40803 and 40821 is 3.

GCF(40803,40821) = 3

We will now calculate the prime factors of 40803 and 40821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40803 and 40821.

How to find the GCF of 40803 and 40821?

We will first find the prime factorization of 40803 and 40821. After we will calculate the factors of 40803 and 40821 and find the biggest common factor number .

Step-1: Prime Factorization of 40803

Prime factors of 40803 are 3, 7, 29, 67. Prime factorization of 40803 in exponential form is:

40803 = 3¹ × 7¹ × 29¹ × 67¹

Step-2: Prime Factorization of 40821

Prime factors of 40821 are 3, 11, 1237. Prime factorization of 40821 in exponential form is:

40821 = 3¹ × 11¹ × 1237¹

Step-3: Factors of 40803

List of positive integer factors of 40803 that divides 40803 without a remainder.

1, 3, 7, 21, 29, 67, 87, 201, 203, 469, 609, 1407, 1943, 5829, 13601

Step-4: Factors of 40821

List of positive integer factors of 40821 that divides 40803 without a remainder.

1, 3, 11, 33, 1237, 3711, 13607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40803 and 40821. The biggest common factor number is the GCF number.
So the greatest common factor 40803 and 40821 is 3.

Also check out the Least Common Multiple of 40803 and 40821