What is the Greatest Common Factor of 80164 and 80178?

Greatest common factor (GCF) of 80164 and 80178 is 14.

GCF(80164,80178) = 14

We will now calculate the prime factors of 80164 and 80178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80164 and 80178.

How to find the GCF of 80164 and 80178?

We will first find the prime factorization of 80164 and 80178. After we will calculate the factors of 80164 and 80178 and find the biggest common factor number .

Step-1: Prime Factorization of 80164

Prime factors of 80164 are 2, 7, 409. Prime factorization of 80164 in exponential form is:

80164 = 2² × 7² × 409¹

Step-2: Prime Factorization of 80178

Prime factors of 80178 are 2, 3, 7, 23, 83. Prime factorization of 80178 in exponential form is:

80178 = 2¹ × 3¹ × 7¹ × 23¹ × 83¹

Step-3: Factors of 80164

List of positive integer factors of 80164 that divides 80164 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 409, 818, 1636, 2863, 5726, 11452, 20041, 40082

Step-4: Factors of 80178

List of positive integer factors of 80178 that divides 80164 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 83, 138, 161, 166, 249, 322, 483, 498, 581, 966, 1162, 1743, 1909, 3486, 3818, 5727, 11454, 13363, 26726, 40089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80164 and 80178. The biggest common factor number is the GCF number.
So the greatest common factor 80164 and 80178 is 14.

Also check out the Least Common Multiple of 80164 and 80178