What is the Greatest Common Factor of 68272 and 68279?

Greatest common factor (GCF) of 68272 and 68279 is 1.

GCF(68272,68279) = 1

We will now calculate the prime factors of 68272 and 68279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68272 and 68279.

How to find the GCF of 68272 and 68279?

We will first find the prime factorization of 68272 and 68279. After we will calculate the factors of 68272 and 68279 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 68279

Prime factors of 68279 are 68279. Prime factorization of 68279 in exponential form is:

68279 = 68279¹

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 68279

List of positive integer factors of 68279 that divides 68272 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68272 and 68279. The biggest common factor number is the GCF number.
So the greatest common factor 68272 and 68279 is 1.

Also check out the Least Common Multiple of 68272 and 68279