What is the Greatest Common Factor of 68272 and 68281?

Greatest common factor (GCF) of 68272 and 68281 is 1.

GCF(68272,68281) = 1

We will now calculate the prime factors of 68272 and 68281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68272 and 68281.

How to find the GCF of 68272 and 68281?

We will first find the prime factorization of 68272 and 68281. After we will calculate the factors of 68272 and 68281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68281

Prime factors of 68281 are 68281. Prime factorization of 68281 in exponential form is:

68281 = 68281¹

Step-3: Factors of 68272

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

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

Step-4: Factors of 68281

List of positive integer factors of 68281 that divides 68272 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68272 and 68281. The biggest common factor number is the GCF number.
So the greatest common factor 68272 and 68281 is 1.

Also check out the Least Common Multiple of 68272 and 68281