What is the Greatest Common Factor of 40740 and 40756?

Greatest common factor (GCF) of 40740 and 40756 is 4.

GCF(40740,40756) = 4

We will now calculate the prime factors of 40740 and 40756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40740 and 40756.

How to find the GCF of 40740 and 40756?

We will first find the prime factorization of 40740 and 40756. After we will calculate the factors of 40740 and 40756 and find the biggest common factor number .

Step-1: Prime Factorization of 40740

Prime factors of 40740 are 2, 3, 5, 7, 97. Prime factorization of 40740 in exponential form is:

40740 = 2² × 3¹ × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 40756

Prime factors of 40756 are 2, 23, 443. Prime factorization of 40756 in exponential form is:

40756 = 2² × 23¹ × 443¹

Step-3: Factors of 40740

List of positive integer factors of 40740 that divides 40740 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 97, 105, 140, 194, 210, 291, 388, 420, 485, 582, 679, 970, 1164, 1358, 1455, 1940, 2037, 2716, 2910, 3395, 4074, 5820, 6790, 8148, 10185, 13580, 20370

Step-4: Factors of 40756

List of positive integer factors of 40756 that divides 40740 without a remainder.

1, 2, 4, 23, 46, 92, 443, 886, 1772, 10189, 20378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40740 and 40756. The biggest common factor number is the GCF number.
So the greatest common factor 40740 and 40756 is 4.

Also check out the Least Common Multiple of 40740 and 40756