What is the Greatest Common Factor of 97835 and 97850?

Greatest common factor (GCF) of 97835 and 97850 is 5.

GCF(97835,97850) = 5

We will now calculate the prime factors of 97835 and 97850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97835 and 97850.

How to find the GCF of 97835 and 97850?

We will first find the prime factorization of 97835 and 97850. After we will calculate the factors of 97835 and 97850 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 97850

Prime factors of 97850 are 2, 5, 19, 103. Prime factorization of 97850 in exponential form is:

97850 = 2¹ × 5² × 19¹ × 103¹

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 97850

List of positive integer factors of 97850 that divides 97835 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 103, 190, 206, 475, 515, 950, 1030, 1957, 2575, 3914, 5150, 9785, 19570, 48925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97835 and 97850. The biggest common factor number is the GCF number.
So the greatest common factor 97835 and 97850 is 5.

Also check out the Least Common Multiple of 97835 and 97850