What is the Greatest Common Factor of 80178 and 80185?

Greatest common factor (GCF) of 80178 and 80185 is 7.

GCF(80178,80185) = 7

We will now calculate the prime factors of 80178 and 80185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80178 and 80185.

How to find the GCF of 80178 and 80185?

We will first find the prime factorization of 80178 and 80185. After we will calculate the factors of 80178 and 80185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80185

Prime factors of 80185 are 5, 7, 29, 79. Prime factorization of 80185 in exponential form is:

80185 = 5¹ × 7¹ × 29¹ × 79¹

Step-3: Factors of 80178

List of positive integer factors of 80178 that divides 80178 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

Step-4: Factors of 80185

List of positive integer factors of 80185 that divides 80178 without a remainder.

1, 5, 7, 29, 35, 79, 145, 203, 395, 553, 1015, 2291, 2765, 11455, 16037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80178 and 80185. The biggest common factor number is the GCF number.
So the greatest common factor 80178 and 80185 is 7.

Also check out the Least Common Multiple of 80178 and 80185