What is the Greatest Common Factor of 65190 and 65200?

Greatest common factor (GCF) of 65190 and 65200 is 10.

GCF(65190,65200) = 10

We will now calculate the prime factors of 65190 and 65200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65190 and 65200.

How to find the GCF of 65190 and 65200?

We will first find the prime factorization of 65190 and 65200. After we will calculate the factors of 65190 and 65200 and find the biggest common factor number .

Step-1: Prime Factorization of 65190

Prime factors of 65190 are 2, 3, 5, 41, 53. Prime factorization of 65190 in exponential form is:

65190 = 2¹ × 3¹ × 5¹ × 41¹ × 53¹

Step-2: Prime Factorization of 65200

Prime factors of 65200 are 2, 5, 163. Prime factorization of 65200 in exponential form is:

65200 = 2⁴ × 5² × 163¹

Step-3: Factors of 65190

List of positive integer factors of 65190 that divides 65190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 53, 82, 106, 123, 159, 205, 246, 265, 318, 410, 530, 615, 795, 1230, 1590, 2173, 4346, 6519, 10865, 13038, 21730, 32595

Step-4: Factors of 65200

List of positive integer factors of 65200 that divides 65190 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 163, 200, 326, 400, 652, 815, 1304, 1630, 2608, 3260, 4075, 6520, 8150, 13040, 16300, 32600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65190 and 65200. The biggest common factor number is the GCF number.
So the greatest common factor 65190 and 65200 is 10.

Also check out the Least Common Multiple of 65190 and 65200