What is the Greatest Common Factor of 97694 and 97698?

Greatest common factor (GCF) of 97694 and 97698 is 2.

GCF(97694,97698) = 2

We will now calculate the prime factors of 97694 and 97698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97694 and 97698.

How to find the GCF of 97694 and 97698?

We will first find the prime factorization of 97694 and 97698. After we will calculate the factors of 97694 and 97698 and find the biggest common factor number .

Step-1: Prime Factorization of 97694

Prime factors of 97694 are 2, 48847. Prime factorization of 97694 in exponential form is:

97694 = 2¹ × 48847¹

Step-2: Prime Factorization of 97698

Prime factors of 97698 are 2, 3, 19, 857. Prime factorization of 97698 in exponential form is:

97698 = 2¹ × 3¹ × 19¹ × 857¹

Step-3: Factors of 97694

List of positive integer factors of 97694 that divides 97694 without a remainder.

1, 2, 48847

Step-4: Factors of 97698

List of positive integer factors of 97698 that divides 97694 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 857, 1714, 2571, 5142, 16283, 32566, 48849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97694 and 97698. The biggest common factor number is the GCF number.
So the greatest common factor 97694 and 97698 is 2.

Also check out the Least Common Multiple of 97694 and 97698