What is the Greatest Common Factor of 68275 and 68280?

Greatest common factor (GCF) of 68275 and 68280 is 5.

GCF(68275,68280) = 5

We will now calculate the prime factors of 68275 and 68280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68275 and 68280.

How to find the GCF of 68275 and 68280?

We will first find the prime factorization of 68275 and 68280. After we will calculate the factors of 68275 and 68280 and find the biggest common factor number .

Step-1: Prime Factorization of 68275

Prime factors of 68275 are 5, 2731. Prime factorization of 68275 in exponential form is:

68275 = 5² × 2731¹

Step-2: Prime Factorization of 68280

Prime factors of 68280 are 2, 3, 5, 569. Prime factorization of 68280 in exponential form is:

68280 = 2³ × 3¹ × 5¹ × 569¹

Step-3: Factors of 68275

List of positive integer factors of 68275 that divides 68275 without a remainder.

1, 5, 25, 2731, 13655

Step-4: Factors of 68280

List of positive integer factors of 68280 that divides 68275 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 569, 1138, 1707, 2276, 2845, 3414, 4552, 5690, 6828, 8535, 11380, 13656, 17070, 22760, 34140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68275 and 68280. The biggest common factor number is the GCF number.
So the greatest common factor 68275 and 68280 is 5.

Also check out the Least Common Multiple of 68275 and 68280