What is the Greatest Common Factor of 97830 and 97850?

Greatest common factor (GCF) of 97830 and 97850 is 10.

GCF(97830,97850) = 10

We will now calculate the prime factors of 97830 and 97850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97830 and 97850.

How to find the GCF of 97830 and 97850?

We will first find the prime factorization of 97830 and 97850. After we will calculate the factors of 97830 and 97850 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 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 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 97850

List of positive integer factors of 97850 that divides 97830 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 97830 and 97850. The biggest common factor number is the GCF number.
So the greatest common factor 97830 and 97850 is 10.

Also check out the Least Common Multiple of 97830 and 97850