What is the Greatest Common Factor of 29382 and 29398?

Greatest common factor (GCF) of 29382 and 29398 is 2.

GCF(29382,29398) = 2

We will now calculate the prime factors of 29382 and 29398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29382 and 29398.

How to find the GCF of 29382 and 29398?

We will first find the prime factorization of 29382 and 29398. After we will calculate the factors of 29382 and 29398 and find the biggest common factor number .

Step-1: Prime Factorization of 29382

Prime factors of 29382 are 2, 3, 59, 83. Prime factorization of 29382 in exponential form is:

29382 = 2¹ × 3¹ × 59¹ × 83¹

Step-2: Prime Factorization of 29398

Prime factors of 29398 are 2, 14699. Prime factorization of 29398 in exponential form is:

29398 = 2¹ × 14699¹

Step-3: Factors of 29382

List of positive integer factors of 29382 that divides 29382 without a remainder.

1, 2, 3, 6, 59, 83, 118, 166, 177, 249, 354, 498, 4897, 9794, 14691

Step-4: Factors of 29398

List of positive integer factors of 29398 that divides 29382 without a remainder.

1, 2, 14699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29382 and 29398. The biggest common factor number is the GCF number.
So the greatest common factor 29382 and 29398 is 2.

Also check out the Least Common Multiple of 29382 and 29398