What is the Greatest Common Factor of 98691 and 98697?

Greatest common factor (GCF) of 98691 and 98697 is 3.

GCF(98691,98697) = 3

We will now calculate the prime factors of 98691 and 98697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98691 and 98697.

How to find the GCF of 98691 and 98697?

We will first find the prime factorization of 98691 and 98697. After we will calculate the factors of 98691 and 98697 and find the biggest common factor number .

Step-1: Prime Factorization of 98691

Prime factors of 98691 are 3, 67, 491. Prime factorization of 98691 in exponential form is:

98691 = 3¹ × 67¹ × 491¹

Step-2: Prime Factorization of 98697

Prime factors of 98697 are 3, 167, 197. Prime factorization of 98697 in exponential form is:

98697 = 3¹ × 167¹ × 197¹

Step-3: Factors of 98691

List of positive integer factors of 98691 that divides 98691 without a remainder.

1, 3, 67, 201, 491, 1473, 32897

Step-4: Factors of 98697

List of positive integer factors of 98697 that divides 98691 without a remainder.

1, 3, 167, 197, 501, 591, 32899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98691 and 98697. The biggest common factor number is the GCF number.
So the greatest common factor 98691 and 98697 is 3.

Also check out the Least Common Multiple of 98691 and 98697