What is the Greatest Common Factor of 97083 and 97098?

Greatest common factor (GCF) of 97083 and 97098 is 3.

GCF(97083,97098) = 3

We will now calculate the prime factors of 97083 and 97098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97083 and 97098.

How to find the GCF of 97083 and 97098?

We will first find the prime factorization of 97083 and 97098. After we will calculate the factors of 97083 and 97098 and find the biggest common factor number .

Step-1: Prime Factorization of 97083

Prime factors of 97083 are 3, 7, 23, 67. Prime factorization of 97083 in exponential form is:

97083 = 3² × 7¹ × 23¹ × 67¹

Step-2: Prime Factorization of 97098

Prime factors of 97098 are 2, 3, 16183. Prime factorization of 97098 in exponential form is:

97098 = 2¹ × 3¹ × 16183¹

Step-3: Factors of 97083

List of positive integer factors of 97083 that divides 97083 without a remainder.

1, 3, 7, 9, 21, 23, 63, 67, 69, 161, 201, 207, 469, 483, 603, 1407, 1449, 1541, 4221, 4623, 10787, 13869, 32361

Step-4: Factors of 97098

List of positive integer factors of 97098 that divides 97083 without a remainder.

1, 2, 3, 6, 16183, 32366, 48549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97083 and 97098. The biggest common factor number is the GCF number.
So the greatest common factor 97083 and 97098 is 3.

Also check out the Least Common Multiple of 97083 and 97098