What is the Greatest Common Factor of 97834 and 97845?

Greatest common factor (GCF) of 97834 and 97845 is 11.

GCF(97834,97845) = 11

We will now calculate the prime factors of 97834 and 97845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97834 and 97845.

How to find the GCF of 97834 and 97845?

We will first find the prime factorization of 97834 and 97845. After we will calculate the factors of 97834 and 97845 and find the biggest common factor number .

Step-1: Prime Factorization of 97834

Prime factors of 97834 are 2, 11, 4447. Prime factorization of 97834 in exponential form is:

97834 = 2¹ × 11¹ × 4447¹

Step-2: Prime Factorization of 97845

Prime factors of 97845 are 3, 5, 11, 593. Prime factorization of 97845 in exponential form is:

97845 = 3¹ × 5¹ × 11¹ × 593¹

Step-3: Factors of 97834

List of positive integer factors of 97834 that divides 97834 without a remainder.

1, 2, 11, 22, 4447, 8894, 48917

Step-4: Factors of 97845

List of positive integer factors of 97845 that divides 97834 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 593, 1779, 2965, 6523, 8895, 19569, 32615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97834 and 97845. The biggest common factor number is the GCF number.
So the greatest common factor 97834 and 97845 is 11.

Also check out the Least Common Multiple of 97834 and 97845