What is the Greatest Common Factor of 40598 and 40610?

Greatest common factor (GCF) of 40598 and 40610 is 2.

GCF(40598,40610) = 2

We will now calculate the prime factors of 40598 and 40610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40598 and 40610.

How to find the GCF of 40598 and 40610?

We will first find the prime factorization of 40598 and 40610. After we will calculate the factors of 40598 and 40610 and find the biggest common factor number .

Step-1: Prime Factorization of 40598

Prime factors of 40598 are 2, 53, 383. Prime factorization of 40598 in exponential form is:

40598 = 2¹ × 53¹ × 383¹

Step-2: Prime Factorization of 40610

Prime factors of 40610 are 2, 5, 31, 131. Prime factorization of 40610 in exponential form is:

40610 = 2¹ × 5¹ × 31¹ × 131¹

Step-3: Factors of 40598

List of positive integer factors of 40598 that divides 40598 without a remainder.

1, 2, 53, 106, 383, 766, 20299

Step-4: Factors of 40610

List of positive integer factors of 40610 that divides 40598 without a remainder.

1, 2, 5, 10, 31, 62, 131, 155, 262, 310, 655, 1310, 4061, 8122, 20305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40598 and 40610. The biggest common factor number is the GCF number.
So the greatest common factor 40598 and 40610 is 2.

Also check out the Least Common Multiple of 40598 and 40610