What is the Greatest Common Factor of 40788 and 40798?

Greatest common factor (GCF) of 40788 and 40798 is 2.

GCF(40788,40798) = 2

We will now calculate the prime factors of 40788 and 40798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40788 and 40798.

How to find the GCF of 40788 and 40798?

We will first find the prime factorization of 40788 and 40798. After we will calculate the factors of 40788 and 40798 and find the biggest common factor number .

Step-1: Prime Factorization of 40788

Prime factors of 40788 are 2, 3, 11, 103. Prime factorization of 40788 in exponential form is:

40788 = 2² × 3² × 11¹ × 103¹

Step-2: Prime Factorization of 40798

Prime factors of 40798 are 2, 20399. Prime factorization of 40798 in exponential form is:

40798 = 2¹ × 20399¹

Step-3: Factors of 40788

List of positive integer factors of 40788 that divides 40788 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 103, 132, 198, 206, 309, 396, 412, 618, 927, 1133, 1236, 1854, 2266, 3399, 3708, 4532, 6798, 10197, 13596, 20394

Step-4: Factors of 40798

List of positive integer factors of 40798 that divides 40788 without a remainder.

1, 2, 20399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40788 and 40798. The biggest common factor number is the GCF number.
So the greatest common factor 40788 and 40798 is 2.

Also check out the Least Common Multiple of 40788 and 40798