What is the Greatest Common Factor of 97835 and 97852?

Greatest common factor (GCF) of 97835 and 97852 is 17.

GCF(97835,97852) = 17

We will now calculate the prime factors of 97835 and 97852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97835 and 97852.

How to find the GCF of 97835 and 97852?

We will first find the prime factorization of 97835 and 97852. After we will calculate the factors of 97835 and 97852 and find the biggest common factor number .

Step-1: Prime Factorization of 97835

Prime factors of 97835 are 5, 17, 1151. Prime factorization of 97835 in exponential form is:

97835 = 5¹ × 17¹ × 1151¹

Step-2: Prime Factorization of 97852

Prime factors of 97852 are 2, 17, 1439. Prime factorization of 97852 in exponential form is:

97852 = 2² × 17¹ × 1439¹

Step-3: Factors of 97835

List of positive integer factors of 97835 that divides 97835 without a remainder.

1, 5, 17, 85, 1151, 5755, 19567

Step-4: Factors of 97852

List of positive integer factors of 97852 that divides 97835 without a remainder.

1, 2, 4, 17, 34, 68, 1439, 2878, 5756, 24463, 48926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97835 and 97852. The biggest common factor number is the GCF number.
So the greatest common factor 97835 and 97852 is 17.

Also check out the Least Common Multiple of 97835 and 97852