What is the Greatest Common Factor of 68235 and 68240?

Greatest common factor (GCF) of 68235 and 68240 is 5.

GCF(68235,68240) = 5

We will now calculate the prime factors of 68235 and 68240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68235 and 68240.

How to find the GCF of 68235 and 68240?

We will first find the prime factorization of 68235 and 68240. After we will calculate the factors of 68235 and 68240 and find the biggest common factor number .

Step-1: Prime Factorization of 68235

Prime factors of 68235 are 3, 5, 4549. Prime factorization of 68235 in exponential form is:

68235 = 3¹ × 5¹ × 4549¹

Step-2: 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-3: Factors of 68235

List of positive integer factors of 68235 that divides 68235 without a remainder.

1, 3, 5, 15, 4549, 13647, 22745

Step-4: Factors of 68240

List of positive integer factors of 68240 that divides 68235 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68235 and 68240. The biggest common factor number is the GCF number.
So the greatest common factor 68235 and 68240 is 5.

Also check out the Least Common Multiple of 68235 and 68240