What is the Greatest Common Factor of 68250 and 68264?

Greatest common factor (GCF) of 68250 and 68264 is 14.

GCF(68250,68264) = 14

We will now calculate the prime factors of 68250 and 68264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68250 and 68264.

How to find the GCF of 68250 and 68264?

We will first find the prime factorization of 68250 and 68264. After we will calculate the factors of 68250 and 68264 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68264

Prime factors of 68264 are 2, 7, 23, 53. Prime factorization of 68264 in exponential form is:

68264 = 2³ × 7¹ × 23¹ × 53¹

Step-3: Factors of 68250

List of positive integer factors of 68250 that divides 68250 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

Step-4: Factors of 68264

List of positive integer factors of 68264 that divides 68250 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 53, 56, 92, 106, 161, 184, 212, 322, 371, 424, 644, 742, 1219, 1288, 1484, 2438, 2968, 4876, 8533, 9752, 17066, 34132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68250 and 68264. The biggest common factor number is the GCF number.
So the greatest common factor 68250 and 68264 is 14.

Also check out the Least Common Multiple of 68250 and 68264