What is the Greatest Common Factor of 40725 and 40740?

Greatest common factor (GCF) of 40725 and 40740 is 15.

GCF(40725,40740) = 15

We will now calculate the prime factors of 40725 and 40740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40725 and 40740.

How to find the GCF of 40725 and 40740?

We will first find the prime factorization of 40725 and 40740. After we will calculate the factors of 40725 and 40740 and find the biggest common factor number .

Step-1: Prime Factorization of 40725

Prime factors of 40725 are 3, 5, 181. Prime factorization of 40725 in exponential form is:

40725 = 3² × 5² × 181¹

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 40725

List of positive integer factors of 40725 that divides 40725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 181, 225, 543, 905, 1629, 2715, 4525, 8145, 13575

Step-4: Factors of 40740

List of positive integer factors of 40740 that divides 40725 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 40725 and 40740. The biggest common factor number is the GCF number.
So the greatest common factor 40725 and 40740 is 15.

Also check out the Least Common Multiple of 40725 and 40740