What is the Greatest Common Factor of 40900 and 40910?

Greatest common factor (GCF) of 40900 and 40910 is 10.

GCF(40900,40910) = 10

We will now calculate the prime factors of 40900 and 40910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40900 and 40910.

How to find the GCF of 40900 and 40910?

We will first find the prime factorization of 40900 and 40910. After we will calculate the factors of 40900 and 40910 and find the biggest common factor number .

Step-1: Prime Factorization of 40900

Prime factors of 40900 are 2, 5, 409. Prime factorization of 40900 in exponential form is:

40900 = 2² × 5² × 409¹

Step-2: Prime Factorization of 40910

Prime factors of 40910 are 2, 5, 4091. Prime factorization of 40910 in exponential form is:

40910 = 2¹ × 5¹ × 4091¹

Step-3: Factors of 40900

List of positive integer factors of 40900 that divides 40900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 409, 818, 1636, 2045, 4090, 8180, 10225, 20450

Step-4: Factors of 40910

List of positive integer factors of 40910 that divides 40900 without a remainder.

1, 2, 5, 10, 4091, 8182, 20455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40900 and 40910. The biggest common factor number is the GCF number.
So the greatest common factor 40900 and 40910 is 10.

Also check out the Least Common Multiple of 40900 and 40910