What is the Greatest Common Factor of 40733 and 40740?

Greatest common factor (GCF) of 40733 and 40740 is 7.

GCF(40733,40740) = 7

We will now calculate the prime factors of 40733 and 40740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40733 and 40740.

How to find the GCF of 40733 and 40740?

We will first find the prime factorization of 40733 and 40740. After we will calculate the factors of 40733 and 40740 and find the biggest common factor number .

Step-1: Prime Factorization of 40733

Prime factors of 40733 are 7, 11, 23. Prime factorization of 40733 in exponential form is:

40733 = 7¹ × 11¹ × 23²

Step-2: 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-3: Factors of 40733

List of positive integer factors of 40733 that divides 40733 without a remainder.

1, 7, 11, 23, 77, 161, 253, 529, 1771, 3703, 5819

Step-4: Factors of 40740

List of positive integer factors of 40740 that divides 40733 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40733 and 40740. The biggest common factor number is the GCF number.
So the greatest common factor 40733 and 40740 is 7.

Also check out the Least Common Multiple of 40733 and 40740