What is the Greatest Common Factor of 68250 and 68263?

Greatest common factor (GCF) of 68250 and 68263 is 13.

GCF(68250,68263) = 13

We will now calculate the prime factors of 68250 and 68263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68250 and 68263.

How to find the GCF of 68250 and 68263?

We will first find the prime factorization of 68250 and 68263. After we will calculate the factors of 68250 and 68263 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 68263

Prime factors of 68263 are 13, 59, 89. Prime factorization of 68263 in exponential form is:

68263 = 13¹ × 59¹ × 89¹

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 68263

List of positive integer factors of 68263 that divides 68250 without a remainder.

1, 13, 59, 89, 767, 1157, 5251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68250 and 68263. The biggest common factor number is the GCF number.
So the greatest common factor 68250 and 68263 is 13.

Also check out the Least Common Multiple of 68250 and 68263