What is the Greatest Common Factor of 40838 and 40858?

Greatest common factor (GCF) of 40838 and 40858 is 2.

GCF(40838,40858) = 2

We will now calculate the prime factors of 40838 and 40858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40838 and 40858.

How to find the GCF of 40838 and 40858?

We will first find the prime factorization of 40838 and 40858. After we will calculate the factors of 40838 and 40858 and find the biggest common factor number .

Step-1: Prime Factorization of 40838

Prime factors of 40838 are 2, 7, 2917. Prime factorization of 40838 in exponential form is:

40838 = 2¹ × 7¹ × 2917¹

Step-2: Prime Factorization of 40858

Prime factors of 40858 are 2, 31, 659. Prime factorization of 40858 in exponential form is:

40858 = 2¹ × 31¹ × 659¹

Step-3: Factors of 40838

List of positive integer factors of 40838 that divides 40838 without a remainder.

1, 2, 7, 14, 2917, 5834, 20419

Step-4: Factors of 40858

List of positive integer factors of 40858 that divides 40838 without a remainder.

1, 2, 31, 62, 659, 1318, 20429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40838 and 40858. The biggest common factor number is the GCF number.
So the greatest common factor 40838 and 40858 is 2.

Also check out the Least Common Multiple of 40838 and 40858