What is the Greatest Common Factor of 68255 and 68272?

Greatest common factor (GCF) of 68255 and 68272 is 17.

GCF(68255,68272) = 17

We will now calculate the prime factors of 68255 and 68272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68255 and 68272.

How to find the GCF of 68255 and 68272?

We will first find the prime factorization of 68255 and 68272. After we will calculate the factors of 68255 and 68272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68272

Prime factors of 68272 are 2, 17, 251. Prime factorization of 68272 in exponential form is:

68272 = 2⁴ × 17¹ × 251¹

Step-3: Factors of 68255

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

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

Step-4: Factors of 68272

List of positive integer factors of 68272 that divides 68255 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 251, 272, 502, 1004, 2008, 4016, 4267, 8534, 17068, 34136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68255 and 68272. The biggest common factor number is the GCF number.
So the greatest common factor 68255 and 68272 is 17.

Also check out the Least Common Multiple of 68255 and 68272