What is the Greatest Common Factor of 65178 and 65195?

Greatest common factor (GCF) of 65178 and 65195 is 17.

GCF(65178,65195) = 17

We will now calculate the prime factors of 65178 and 65195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65178 and 65195.

How to find the GCF of 65178 and 65195?

We will first find the prime factorization of 65178 and 65195. After we will calculate the factors of 65178 and 65195 and find the biggest common factor number .

Step-1: Prime Factorization of 65178

Prime factors of 65178 are 2, 3, 17, 71. Prime factorization of 65178 in exponential form is:

65178 = 2¹ × 3³ × 17¹ × 71¹

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 65178

List of positive integer factors of 65178 that divides 65178 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 71, 102, 142, 153, 213, 306, 426, 459, 639, 918, 1207, 1278, 1917, 2414, 3621, 3834, 7242, 10863, 21726, 32589

Step-4: Factors of 65195

List of positive integer factors of 65195 that divides 65178 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 65178 and 65195. The biggest common factor number is the GCF number.
So the greatest common factor 65178 and 65195 is 17.

Also check out the Least Common Multiple of 65178 and 65195