What is the Greatest Common Factor of 68280 and 68290?

Greatest common factor (GCF) of 68280 and 68290 is 10.

GCF(68280,68290) = 10

We will now calculate the prime factors of 68280 and 68290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68280 and 68290.

How to find the GCF of 68280 and 68290?

We will first find the prime factorization of 68280 and 68290. After we will calculate the factors of 68280 and 68290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68290

Prime factors of 68290 are 2, 5, 6829. Prime factorization of 68290 in exponential form is:

68290 = 2¹ × 5¹ × 6829¹

Step-3: Factors of 68280

List of positive integer factors of 68280 that divides 68280 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

Step-4: Factors of 68290

List of positive integer factors of 68290 that divides 68280 without a remainder.

1, 2, 5, 10, 6829, 13658, 34145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68280 and 68290. The biggest common factor number is the GCF number.
So the greatest common factor 68280 and 68290 is 10.

Also check out the Least Common Multiple of 68280 and 68290