What is the Greatest Common Factor of 98913 and 98924?

Greatest common factor (GCF) of 98913 and 98924 is 1.

GCF(98913,98924) = 1

We will now calculate the prime factors of 98913 and 98924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98913 and 98924.

How to find the GCF of 98913 and 98924?

We will first find the prime factorization of 98913 and 98924. After we will calculate the factors of 98913 and 98924 and find the biggest common factor number .

Step-1: Prime Factorization of 98913

Prime factors of 98913 are 3, 32971. Prime factorization of 98913 in exponential form is:

98913 = 3¹ × 32971¹

Step-2: Prime Factorization of 98924

Prime factors of 98924 are 2, 7, 3533. Prime factorization of 98924 in exponential form is:

98924 = 2² × 7¹ × 3533¹

Step-3: Factors of 98913

List of positive integer factors of 98913 that divides 98913 without a remainder.

1, 3, 32971

Step-4: Factors of 98924

List of positive integer factors of 98924 that divides 98913 without a remainder.

1, 2, 4, 7, 14, 28, 3533, 7066, 14132, 24731, 49462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98913 and 98924. The biggest common factor number is the GCF number.
So the greatest common factor 98913 and 98924 is 1.

Also check out the Least Common Multiple of 98913 and 98924