What is the Greatest Common Factor of 98923 and 98934?

Greatest common factor (GCF) of 98923 and 98934 is 11.

GCF(98923,98934) = 11

We will now calculate the prime factors of 98923 and 98934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98923 and 98934.

How to find the GCF of 98923 and 98934?

We will first find the prime factorization of 98923 and 98934. After we will calculate the factors of 98923 and 98934 and find the biggest common factor number .

Step-1: Prime Factorization of 98923

Prime factors of 98923 are 11, 17, 23. Prime factorization of 98923 in exponential form is:

98923 = 11¹ × 17¹ × 23²

Step-2: Prime Factorization of 98934

Prime factors of 98934 are 2, 3, 11, 1499. Prime factorization of 98934 in exponential form is:

98934 = 2¹ × 3¹ × 11¹ × 1499¹

Step-3: Factors of 98923

List of positive integer factors of 98923 that divides 98923 without a remainder.

1, 11, 17, 23, 187, 253, 391, 529, 4301, 5819, 8993

Step-4: Factors of 98934

List of positive integer factors of 98934 that divides 98923 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1499, 2998, 4497, 8994, 16489, 32978, 49467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98923 and 98934. The biggest common factor number is the GCF number.
So the greatest common factor 98923 and 98934 is 11.

Also check out the Least Common Multiple of 98923 and 98934