What is the Greatest Common Factor of 68840 and 68845?

Greatest common factor (GCF) of 68840 and 68845 is 5.

GCF(68840,68845) = 5

We will now calculate the prime factors of 68840 and 68845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68840 and 68845.

How to find the GCF of 68840 and 68845?

We will first find the prime factorization of 68840 and 68845. After we will calculate the factors of 68840 and 68845 and find the biggest common factor number .

Step-1: Prime Factorization of 68840

Prime factors of 68840 are 2, 5, 1721. Prime factorization of 68840 in exponential form is:

68840 = 2³ × 5¹ × 1721¹

Step-2: Prime Factorization of 68845

Prime factors of 68845 are 5, 7, 281. Prime factorization of 68845 in exponential form is:

68845 = 5¹ × 7² × 281¹

Step-3: Factors of 68840

List of positive integer factors of 68840 that divides 68840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1721, 3442, 6884, 8605, 13768, 17210, 34420

Step-4: Factors of 68845

List of positive integer factors of 68845 that divides 68840 without a remainder.

1, 5, 7, 35, 49, 245, 281, 1405, 1967, 9835, 13769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68840 and 68845. The biggest common factor number is the GCF number.
So the greatest common factor 68840 and 68845 is 5.

Also check out the Least Common Multiple of 68840 and 68845