What is the Greatest Common Factor of 97830 and 97848?

Greatest common factor (GCF) of 97830 and 97848 is 18.

GCF(97830,97848) = 18

We will now calculate the prime factors of 97830 and 97848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97830 and 97848.

How to find the GCF of 97830 and 97848?

We will first find the prime factorization of 97830 and 97848. After we will calculate the factors of 97830 and 97848 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 97848

Prime factors of 97848 are 2, 3, 151. Prime factorization of 97848 in exponential form is:

97848 = 2³ × 3⁴ × 151¹

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 97848

List of positive integer factors of 97848 that divides 97830 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 151, 162, 216, 302, 324, 453, 604, 648, 906, 1208, 1359, 1812, 2718, 3624, 4077, 5436, 8154, 10872, 12231, 16308, 24462, 32616, 48924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97830 and 97848. The biggest common factor number is the GCF number.
So the greatest common factor 97830 and 97848 is 18.

Also check out the Least Common Multiple of 97830 and 97848