What is the Greatest Common Factor of 40450 and 40455?

Greatest common factor (GCF) of 40450 and 40455 is 5.

GCF(40450,40455) = 5

We will now calculate the prime factors of 40450 and 40455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40450 and 40455.

How to find the GCF of 40450 and 40455?

We will first find the prime factorization of 40450 and 40455. After we will calculate the factors of 40450 and 40455 and find the biggest common factor number .

Step-1: Prime Factorization of 40450

Prime factors of 40450 are 2, 5, 809. Prime factorization of 40450 in exponential form is:

40450 = 2¹ × 5² × 809¹

Step-2: Prime Factorization of 40455

Prime factors of 40455 are 3, 5, 29, 31. Prime factorization of 40455 in exponential form is:

40455 = 3² × 5¹ × 29¹ × 31¹

Step-3: Factors of 40450

List of positive integer factors of 40450 that divides 40450 without a remainder.

1, 2, 5, 10, 25, 50, 809, 1618, 4045, 8090, 20225

Step-4: Factors of 40455

List of positive integer factors of 40455 that divides 40450 without a remainder.

1, 3, 5, 9, 15, 29, 31, 45, 87, 93, 145, 155, 261, 279, 435, 465, 899, 1305, 1395, 2697, 4495, 8091, 13485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40450 and 40455. The biggest common factor number is the GCF number.
So the greatest common factor 40450 and 40455 is 5.

Also check out the Least Common Multiple of 40450 and 40455