What is the Greatest Common Factor of 68240 and 68255?

Greatest common factor (GCF) of 68240 and 68255 is 5.

GCF(68240,68255) = 5

We will now calculate the prime factors of 68240 and 68255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68240 and 68255.

How to find the GCF of 68240 and 68255?

We will first find the prime factorization of 68240 and 68255. After we will calculate the factors of 68240 and 68255 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 68255

Prime factors of 68255 are 5, 11, 17, 73. Prime factorization of 68255 in exponential form is:

68255 = 5¹ × 11¹ × 17¹ × 73¹

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 68255

List of positive integer factors of 68255 that divides 68240 without a remainder.

1, 5, 11, 17, 55, 73, 85, 187, 365, 803, 935, 1241, 4015, 6205, 13651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68240 and 68255. The biggest common factor number is the GCF number.
So the greatest common factor 68240 and 68255 is 5.

Also check out the Least Common Multiple of 68240 and 68255