What is the Greatest Common Factor of 40772 and 40788?

Greatest common factor (GCF) of 40772 and 40788 is 4.

GCF(40772,40788) = 4

We will now calculate the prime factors of 40772 and 40788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40772 and 40788.

How to find the GCF of 40772 and 40788?

We will first find the prime factorization of 40772 and 40788. After we will calculate the factors of 40772 and 40788 and find the biggest common factor number .

Step-1: Prime Factorization of 40772

Prime factors of 40772 are 2, 10193. Prime factorization of 40772 in exponential form is:

40772 = 2² × 10193¹

Step-2: 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-3: Factors of 40772

List of positive integer factors of 40772 that divides 40772 without a remainder.

1, 2, 4, 10193, 20386

Step-4: Factors of 40788

List of positive integer factors of 40788 that divides 40772 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40772 and 40788. The biggest common factor number is the GCF number.
So the greatest common factor 40772 and 40788 is 4.

Also check out the Least Common Multiple of 40772 and 40788