What is the Greatest Common Factor of 97830 and 97835?

Greatest common factor (GCF) of 97830 and 97835 is 5.

GCF(97830,97835) = 5

We will now calculate the prime factors of 97830 and 97835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97830 and 97835.

How to find the GCF of 97830 and 97835?

We will first find the prime factorization of 97830 and 97835. After we will calculate the factors of 97830 and 97835 and find the biggest common factor number .

Step-1: Prime Factorization of 97830

Prime factors of 97830 are 2, 3, 5, 1087. Prime factorization of 97830 in exponential form is:

97830 = 2¹ × 3² × 5¹ × 1087¹

Step-2: 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-3: Factors of 97830

List of positive integer factors of 97830 that divides 97830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1087, 2174, 3261, 5435, 6522, 9783, 10870, 16305, 19566, 32610, 48915

Step-4: Factors of 97835

List of positive integer factors of 97835 that divides 97830 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97830 and 97835. The biggest common factor number is the GCF number.
So the greatest common factor 97830 and 97835 is 5.

Also check out the Least Common Multiple of 97830 and 97835