What is the Greatest Common Factor of 35382 and 35398?

Greatest common factor (GCF) of 35382 and 35398 is 2.

GCF(35382,35398) = 2

We will now calculate the prime factors of 35382 and 35398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35382 and 35398.

How to find the GCF of 35382 and 35398?

We will first find the prime factorization of 35382 and 35398. After we will calculate the factors of 35382 and 35398 and find the biggest common factor number .

Step-1: Prime Factorization of 35382

Prime factors of 35382 are 2, 3, 5897. Prime factorization of 35382 in exponential form is:

35382 = 2¹ × 3¹ × 5897¹

Step-2: Prime Factorization of 35398

Prime factors of 35398 are 2, 11, 1609. Prime factorization of 35398 in exponential form is:

35398 = 2¹ × 11¹ × 1609¹

Step-3: Factors of 35382

List of positive integer factors of 35382 that divides 35382 without a remainder.

1, 2, 3, 6, 5897, 11794, 17691

Step-4: Factors of 35398

List of positive integer factors of 35398 that divides 35382 without a remainder.

1, 2, 11, 22, 1609, 3218, 17699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35382 and 35398. The biggest common factor number is the GCF number.
So the greatest common factor 35382 and 35398 is 2.

Also check out the Least Common Multiple of 35382 and 35398