What is the Greatest Common Factor of 40740 and 40749?

Greatest common factor (GCF) of 40740 and 40749 is 3.

GCF(40740,40749) = 3

We will now calculate the prime factors of 40740 and 40749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40740 and 40749.

How to find the GCF of 40740 and 40749?

We will first find the prime factorization of 40740 and 40749. After we will calculate the factors of 40740 and 40749 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 40749

Prime factors of 40749 are 3, 17, 47. Prime factorization of 40749 in exponential form is:

40749 = 3¹ × 17² × 47¹

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 40749

List of positive integer factors of 40749 that divides 40740 without a remainder.

1, 3, 17, 47, 51, 141, 289, 799, 867, 2397, 13583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40740 and 40749. The biggest common factor number is the GCF number.
So the greatest common factor 40740 and 40749 is 3.

Also check out the Least Common Multiple of 40740 and 40749