What is the Greatest Common Factor of 48195 and 48200?

Greatest common factor (GCF) of 48195 and 48200 is 5.

GCF(48195,48200) = 5

We will now calculate the prime factors of 48195 and 48200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48195 and 48200.

How to find the GCF of 48195 and 48200?

We will first find the prime factorization of 48195 and 48200. After we will calculate the factors of 48195 and 48200 and find the biggest common factor number .

Step-1: Prime Factorization of 48195

Prime factors of 48195 are 3, 5, 7, 17. Prime factorization of 48195 in exponential form is:

48195 = 3⁴ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 48200

Prime factors of 48200 are 2, 5, 241. Prime factorization of 48200 in exponential form is:

48200 = 2³ × 5² × 241¹

Step-3: Factors of 48195

List of positive integer factors of 48195 that divides 48195 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 27, 35, 45, 51, 63, 81, 85, 105, 119, 135, 153, 189, 255, 315, 357, 405, 459, 567, 595, 765, 945, 1071, 1377, 1785, 2295, 2835, 3213, 5355, 6885, 9639, 16065

Step-4: Factors of 48200

List of positive integer factors of 48200 that divides 48195 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 241, 482, 964, 1205, 1928, 2410, 4820, 6025, 9640, 12050, 24100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48195 and 48200. The biggest common factor number is the GCF number.
So the greatest common factor 48195 and 48200 is 5.

Also check out the Least Common Multiple of 48195 and 48200