What is the Greatest Common Factor of 40740 and 40744?

Greatest common factor (GCF) of 40740 and 40744 is 4.

GCF(40740,40744) = 4

We will now calculate the prime factors of 40740 and 40744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40740 and 40744.

How to find the GCF of 40740 and 40744?

We will first find the prime factorization of 40740 and 40744. After we will calculate the factors of 40740 and 40744 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 40744

Prime factors of 40744 are 2, 11, 463. Prime factorization of 40744 in exponential form is:

40744 = 2³ × 11¹ × 463¹

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 40744

List of positive integer factors of 40744 that divides 40740 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 463, 926, 1852, 3704, 5093, 10186, 20372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40740 and 40744. The biggest common factor number is the GCF number.
So the greatest common factor 40740 and 40744 is 4.

Also check out the Least Common Multiple of 40740 and 40744