What is the Greatest Common Factor of 98362 and 98382?

Greatest common factor (GCF) of 98362 and 98382 is 2.

GCF(98362,98382) = 2

We will now calculate the prime factors of 98362 and 98382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98362 and 98382.

How to find the GCF of 98362 and 98382?

We will first find the prime factorization of 98362 and 98382. After we will calculate the factors of 98362 and 98382 and find the biggest common factor number .

Step-1: Prime Factorization of 98362

Prime factors of 98362 are 2, 11, 17, 263. Prime factorization of 98362 in exponential form is:

98362 = 2¹ × 11¹ × 17¹ × 263¹

Step-2: Prime Factorization of 98382

Prime factors of 98382 are 2, 3, 19, 863. Prime factorization of 98382 in exponential form is:

98382 = 2¹ × 3¹ × 19¹ × 863¹

Step-3: Factors of 98362

List of positive integer factors of 98362 that divides 98362 without a remainder.

1, 2, 11, 17, 22, 34, 187, 263, 374, 526, 2893, 4471, 5786, 8942, 49181

Step-4: Factors of 98382

List of positive integer factors of 98382 that divides 98362 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 863, 1726, 2589, 5178, 16397, 32794, 49191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98362 and 98382. The biggest common factor number is the GCF number.
So the greatest common factor 98362 and 98382 is 2.

Also check out the Least Common Multiple of 98362 and 98382