What is the Greatest Common Factor of 78183 and 78188?

Greatest common factor (GCF) of 78183 and 78188 is 1.

GCF(78183,78188) = 1

We will now calculate the prime factors of 78183 and 78188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78183 and 78188.

How to find the GCF of 78183 and 78188?

We will first find the prime factorization of 78183 and 78188. After we will calculate the factors of 78183 and 78188 and find the biggest common factor number .

Step-1: Prime Factorization of 78183

Prime factors of 78183 are 3, 7, 17, 73. Prime factorization of 78183 in exponential form is:

78183 = 3² × 7¹ × 17¹ × 73¹

Step-2: Prime Factorization of 78188

Prime factors of 78188 are 2, 11, 1777. Prime factorization of 78188 in exponential form is:

78188 = 2² × 11¹ × 1777¹

Step-3: Factors of 78183

List of positive integer factors of 78183 that divides 78183 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 73, 119, 153, 219, 357, 511, 657, 1071, 1241, 1533, 3723, 4599, 8687, 11169, 26061

Step-4: Factors of 78188

List of positive integer factors of 78188 that divides 78183 without a remainder.

1, 2, 4, 11, 22, 44, 1777, 3554, 7108, 19547, 39094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78183 and 78188. The biggest common factor number is the GCF number.
So the greatest common factor 78183 and 78188 is 1.

Also check out the Least Common Multiple of 78183 and 78188