What is the Greatest Common Factor of 40430 and 40450?

Greatest common factor (GCF) of 40430 and 40450 is 10.

GCF(40430,40450) = 10

We will now calculate the prime factors of 40430 and 40450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40430 and 40450.

How to find the GCF of 40430 and 40450?

We will first find the prime factorization of 40430 and 40450. After we will calculate the factors of 40430 and 40450 and find the biggest common factor number .

Step-1: Prime Factorization of 40430

Prime factors of 40430 are 2, 5, 13, 311. Prime factorization of 40430 in exponential form is:

40430 = 2¹ × 5¹ × 13¹ × 311¹

Step-2: 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-3: Factors of 40430

List of positive integer factors of 40430 that divides 40430 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 311, 622, 1555, 3110, 4043, 8086, 20215

Step-4: Factors of 40450

List of positive integer factors of 40450 that divides 40430 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40430 and 40450. The biggest common factor number is the GCF number.
So the greatest common factor 40430 and 40450 is 10.

Also check out the Least Common Multiple of 40430 and 40450