What is the Greatest Common Factor of 98913 and 98922?

Greatest common factor (GCF) of 98913 and 98922 is 3.

GCF(98913,98922) = 3

We will now calculate the prime factors of 98913 and 98922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98913 and 98922.

How to find the GCF of 98913 and 98922?

We will first find the prime factorization of 98913 and 98922. After we will calculate the factors of 98913 and 98922 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 98922

Prime factors of 98922 are 2, 3, 16487. Prime factorization of 98922 in exponential form is:

98922 = 2¹ × 3¹ × 16487¹

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 98922

List of positive integer factors of 98922 that divides 98913 without a remainder.

1, 2, 3, 6, 16487, 32974, 49461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98913 and 98922. The biggest common factor number is the GCF number.
So the greatest common factor 98913 and 98922 is 3.

Also check out the Least Common Multiple of 98913 and 98922