What is the Greatest Common Factor of 97850 and 97855?

Greatest common factor (GCF) of 97850 and 97855 is 5.

GCF(97850,97855) = 5

We will now calculate the prime factors of 97850 and 97855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97850 and 97855.

How to find the GCF of 97850 and 97855?

We will first find the prime factorization of 97850 and 97855. After we will calculate the factors of 97850 and 97855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97855

Prime factors of 97855 are 5, 19571. Prime factorization of 97855 in exponential form is:

97855 = 5¹ × 19571¹

Step-3: Factors of 97850

List of positive integer factors of 97850 that divides 97850 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

Step-4: Factors of 97855

List of positive integer factors of 97855 that divides 97850 without a remainder.

1, 5, 19571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97850 and 97855. The biggest common factor number is the GCF number.
So the greatest common factor 97850 and 97855 is 5.

Also check out the Least Common Multiple of 97850 and 97855