What is the Greatest Common Factor of 98364 and 98369?

Greatest common factor (GCF) of 98364 and 98369 is 1.

GCF(98364,98369) = 1

We will now calculate the prime factors of 98364 and 98369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98364 and 98369.

How to find the GCF of 98364 and 98369?

We will first find the prime factorization of 98364 and 98369. After we will calculate the factors of 98364 and 98369 and find the biggest common factor number .

Step-1: Prime Factorization of 98364

Prime factors of 98364 are 2, 3, 7, 1171. Prime factorization of 98364 in exponential form is:

98364 = 2² × 3¹ × 7¹ × 1171¹

Step-2: Prime Factorization of 98369

Prime factors of 98369 are 98369. Prime factorization of 98369 in exponential form is:

98369 = 98369¹

Step-3: Factors of 98364

List of positive integer factors of 98364 that divides 98364 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1171, 2342, 3513, 4684, 7026, 8197, 14052, 16394, 24591, 32788, 49182

Step-4: Factors of 98369

List of positive integer factors of 98369 that divides 98364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98364 and 98369. The biggest common factor number is the GCF number.
So the greatest common factor 98364 and 98369 is 1.

Also check out the Least Common Multiple of 98364 and 98369