What is the Greatest Common Factor of 65169 and 65178?

Greatest common factor (GCF) of 65169 and 65178 is 9.

GCF(65169,65178) = 9

We will now calculate the prime factors of 65169 and 65178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65169 and 65178.

How to find the GCF of 65169 and 65178?

We will first find the prime factorization of 65169 and 65178. After we will calculate the factors of 65169 and 65178 and find the biggest common factor number .

Step-1: Prime Factorization of 65169

Prime factors of 65169 are 3, 13, 557. Prime factorization of 65169 in exponential form is:

65169 = 3² × 13¹ × 557¹

Step-2: 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-3: Factors of 65169

List of positive integer factors of 65169 that divides 65169 without a remainder.

1, 3, 9, 13, 39, 117, 557, 1671, 5013, 7241, 21723

Step-4: Factors of 65178

List of positive integer factors of 65178 that divides 65169 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65169 and 65178. The biggest common factor number is the GCF number.
So the greatest common factor 65169 and 65178 is 9.

Also check out the Least Common Multiple of 65169 and 65178