What is the Greatest Common Factor of 97938 and 97946?

Greatest common factor (GCF) of 97938 and 97946 is 2.

GCF(97938,97946) = 2

We will now calculate the prime factors of 97938 and 97946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97938 and 97946.

How to find the GCF of 97938 and 97946?

We will first find the prime factorization of 97938 and 97946. After we will calculate the factors of 97938 and 97946 and find the biggest common factor number .

Step-1: Prime Factorization of 97938

Prime factors of 97938 are 2, 3, 5441. Prime factorization of 97938 in exponential form is:

97938 = 2¹ × 3² × 5441¹

Step-2: Prime Factorization of 97946

Prime factors of 97946 are 2, 48973. Prime factorization of 97946 in exponential form is:

97946 = 2¹ × 48973¹

Step-3: Factors of 97938

List of positive integer factors of 97938 that divides 97938 without a remainder.

1, 2, 3, 6, 9, 18, 5441, 10882, 16323, 32646, 48969

Step-4: Factors of 97946

List of positive integer factors of 97946 that divides 97938 without a remainder.

1, 2, 48973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97938 and 97946. The biggest common factor number is the GCF number.
So the greatest common factor 97938 and 97946 is 2.

Also check out the Least Common Multiple of 97938 and 97946