What is the Greatest Common Factor of 40740 and 40750?

Greatest common factor (GCF) of 40740 and 40750 is 10.

GCF(40740,40750) = 10

We will now calculate the prime factors of 40740 and 40750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40740 and 40750.

How to find the GCF of 40740 and 40750?

We will first find the prime factorization of 40740 and 40750. After we will calculate the factors of 40740 and 40750 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 40750

Prime factors of 40750 are 2, 5, 163. Prime factorization of 40750 in exponential form is:

40750 = 2¹ × 5³ × 163¹

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 40750

List of positive integer factors of 40750 that divides 40740 without a remainder.

1, 2, 5, 10, 25, 50, 125, 163, 250, 326, 815, 1630, 4075, 8150, 20375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40740 and 40750. The biggest common factor number is the GCF number.
So the greatest common factor 40740 and 40750 is 10.

Also check out the Least Common Multiple of 40740 and 40750