What is the Greatest Common Factor of 78183 and 78200?

Greatest common factor (GCF) of 78183 and 78200 is 17.

GCF(78183,78200) = 17

We will now calculate the prime factors of 78183 and 78200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78183 and 78200.

How to find the GCF of 78183 and 78200?

We will first find the prime factorization of 78183 and 78200. After we will calculate the factors of 78183 and 78200 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 78200

Prime factors of 78200 are 2, 5, 17, 23. Prime factorization of 78200 in exponential form is:

78200 = 2³ × 5² × 17¹ × 23¹

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 78200

List of positive integer factors of 78200 that divides 78183 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 23, 25, 34, 40, 46, 50, 68, 85, 92, 100, 115, 136, 170, 184, 200, 230, 340, 391, 425, 460, 575, 680, 782, 850, 920, 1150, 1564, 1700, 1955, 2300, 3128, 3400, 3910, 4600, 7820, 9775, 15640, 19550, 39100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78183 and 78200. The biggest common factor number is the GCF number.
So the greatest common factor 78183 and 78200 is 17.

Also check out the Least Common Multiple of 78183 and 78200