What is the Greatest Common Factor of 65182 and 65195?

Greatest common factor (GCF) of 65182 and 65195 is 13.

GCF(65182,65195) = 13

We will now calculate the prime factors of 65182 and 65195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65182 and 65195.

How to find the GCF of 65182 and 65195?

We will first find the prime factorization of 65182 and 65195. After we will calculate the factors of 65182 and 65195 and find the biggest common factor number .

Step-1: Prime Factorization of 65182

Prime factors of 65182 are 2, 13, 23, 109. Prime factorization of 65182 in exponential form is:

65182 = 2¹ × 13¹ × 23¹ × 109¹

Step-2: 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-3: Factors of 65182

List of positive integer factors of 65182 that divides 65182 without a remainder.

1, 2, 13, 23, 26, 46, 109, 218, 299, 598, 1417, 2507, 2834, 5014, 32591

Step-4: Factors of 65195

List of positive integer factors of 65195 that divides 65182 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65182 and 65195. The biggest common factor number is the GCF number.
So the greatest common factor 65182 and 65195 is 13.

Also check out the Least Common Multiple of 65182 and 65195