What is the Greatest Common Factor of 73164 and 73178?

Greatest common factor (GCF) of 73164 and 73178 is 14.

GCF(73164,73178) = 14

We will now calculate the prime factors of 73164 and 73178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73164 and 73178.

How to find the GCF of 73164 and 73178?

We will first find the prime factorization of 73164 and 73178. After we will calculate the factors of 73164 and 73178 and find the biggest common factor number .

Step-1: Prime Factorization of 73164

Prime factors of 73164 are 2, 3, 7, 13, 67. Prime factorization of 73164 in exponential form is:

73164 = 2² × 3¹ × 7¹ × 13¹ × 67¹

Step-2: Prime Factorization of 73178

Prime factors of 73178 are 2, 7, 5227. Prime factorization of 73178 in exponential form is:

73178 = 2¹ × 7¹ × 5227¹

Step-3: Factors of 73164

List of positive integer factors of 73164 that divides 73164 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 67, 78, 84, 91, 134, 156, 182, 201, 268, 273, 364, 402, 469, 546, 804, 871, 938, 1092, 1407, 1742, 1876, 2613, 2814, 3484, 5226, 5628, 6097, 10452, 12194, 18291, 24388, 36582

Step-4: Factors of 73178

List of positive integer factors of 73178 that divides 73164 without a remainder.

1, 2, 7, 14, 5227, 10454, 36589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73164 and 73178. The biggest common factor number is the GCF number.
So the greatest common factor 73164 and 73178 is 14.

Also check out the Least Common Multiple of 73164 and 73178