What is the Greatest Common Factor of 68169 and 68184?

Greatest common factor (GCF) of 68169 and 68184 is 3.

GCF(68169,68184) = 3

We will now calculate the prime factors of 68169 and 68184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68169 and 68184.

How to find the GCF of 68169 and 68184?

We will first find the prime factorization of 68169 and 68184. After we will calculate the factors of 68169 and 68184 and find the biggest common factor number .

Step-1: Prime Factorization of 68169

Prime factors of 68169 are 3, 31, 733. Prime factorization of 68169 in exponential form is:

68169 = 3¹ × 31¹ × 733¹

Step-2: Prime Factorization of 68184

Prime factors of 68184 are 2, 3, 947. Prime factorization of 68184 in exponential form is:

68184 = 2³ × 3² × 947¹

Step-3: Factors of 68169

List of positive integer factors of 68169 that divides 68169 without a remainder.

1, 3, 31, 93, 733, 2199, 22723

Step-4: Factors of 68184

List of positive integer factors of 68184 that divides 68169 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 947, 1894, 2841, 3788, 5682, 7576, 8523, 11364, 17046, 22728, 34092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68169 and 68184. The biggest common factor number is the GCF number.
So the greatest common factor 68169 and 68184 is 3.

Also check out the Least Common Multiple of 68169 and 68184