What is the Greatest Common Factor of 65195 and 65200?

Greatest common factor (GCF) of 65195 and 65200 is 5.

GCF(65195,65200) = 5

We will now calculate the prime factors of 65195 and 65200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65195 and 65200.

How to find the GCF of 65195 and 65200?

We will first find the prime factorization of 65195 and 65200. After we will calculate the factors of 65195 and 65200 and find the biggest common factor number .

Step-1: Prime Factorization of 65195

Prime factors of 65195 are 5, 13, 17, 59. Prime factorization of 65195 in exponential form is:

65195 = 5¹ × 13¹ × 17¹ × 59¹

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 65195

List of positive integer factors of 65195 that divides 65195 without a remainder.

1, 5, 13, 17, 59, 65, 85, 221, 295, 767, 1003, 1105, 3835, 5015, 13039

Step-4: Factors of 65200

List of positive integer factors of 65200 that divides 65195 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 65195 and 65200. The biggest common factor number is the GCF number.
So the greatest common factor 65195 and 65200 is 5.

Also check out the Least Common Multiple of 65195 and 65200