What is the Greatest Common Factor of 68238 and 68250?

Greatest common factor (GCF) of 68238 and 68250 is 6.

GCF(68238,68250) = 6

We will now calculate the prime factors of 68238 and 68250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68238 and 68250.

How to find the GCF of 68238 and 68250?

We will first find the prime factorization of 68238 and 68250. After we will calculate the factors of 68238 and 68250 and find the biggest common factor number .

Step-1: Prime Factorization of 68238

Prime factors of 68238 are 2, 3, 17, 223. Prime factorization of 68238 in exponential form is:

68238 = 2¹ × 3² × 17¹ × 223¹

Step-2: Prime Factorization of 68250

Prime factors of 68250 are 2, 3, 5, 7, 13. Prime factorization of 68250 in exponential form is:

68250 = 2¹ × 3¹ × 5³ × 7¹ × 13¹

Step-3: Factors of 68238

List of positive integer factors of 68238 that divides 68238 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 223, 306, 446, 669, 1338, 2007, 3791, 4014, 7582, 11373, 22746, 34119

Step-4: Factors of 68250

List of positive integer factors of 68250 that divides 68238 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 25, 26, 30, 35, 39, 42, 50, 65, 70, 75, 78, 91, 105, 125, 130, 150, 175, 182, 195, 210, 250, 273, 325, 350, 375, 390, 455, 525, 546, 650, 750, 875, 910, 975, 1050, 1365, 1625, 1750, 1950, 2275, 2625, 2730, 3250, 4550, 4875, 5250, 6825, 9750, 11375, 13650, 22750, 34125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68238 and 68250. The biggest common factor number is the GCF number.
So the greatest common factor 68238 and 68250 is 6.

Also check out the Least Common Multiple of 68238 and 68250