What is the Greatest Common Factor of 68240 and 68245?

Greatest common factor (GCF) of 68240 and 68245 is 5.

GCF(68240,68245) = 5

We will now calculate the prime factors of 68240 and 68245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68240 and 68245.

How to find the GCF of 68240 and 68245?

We will first find the prime factorization of 68240 and 68245. After we will calculate the factors of 68240 and 68245 and find the biggest common factor number .

Step-1: Prime Factorization of 68240

Prime factors of 68240 are 2, 5, 853. Prime factorization of 68240 in exponential form is:

68240 = 2⁴ × 5¹ × 853¹

Step-2: Prime Factorization of 68245

Prime factors of 68245 are 5, 13649. Prime factorization of 68245 in exponential form is:

68245 = 5¹ × 13649¹

Step-3: Factors of 68240

List of positive integer factors of 68240 that divides 68240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 853, 1706, 3412, 4265, 6824, 8530, 13648, 17060, 34120

Step-4: Factors of 68245

List of positive integer factors of 68245 that divides 68240 without a remainder.

1, 5, 13649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68240 and 68245. The biggest common factor number is the GCF number.
So the greatest common factor 68240 and 68245 is 5.

Also check out the Least Common Multiple of 68240 and 68245