What is the Greatest Common Factor of 27229 and 27245?

Greatest common factor (GCF) of 27229 and 27245 is 1.

GCF(27229,27245) = 1

We will now calculate the prime factors of 27229 and 27245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27229 and 27245.

How to find the GCF of 27229 and 27245?

We will first find the prime factorization of 27229 and 27245. After we will calculate the factors of 27229 and 27245 and find the biggest common factor number .

Step-1: Prime Factorization of 27229

Prime factors of 27229 are 73, 373. Prime factorization of 27229 in exponential form is:

27229 = 73¹ × 373¹

Step-2: Prime Factorization of 27245

Prime factors of 27245 are 5, 5449. Prime factorization of 27245 in exponential form is:

27245 = 5¹ × 5449¹

Step-3: Factors of 27229

List of positive integer factors of 27229 that divides 27229 without a remainder.

1, 73, 373

Step-4: Factors of 27245

List of positive integer factors of 27245 that divides 27229 without a remainder.

1, 5, 5449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27229 and 27245. The biggest common factor number is the GCF number.
So the greatest common factor 27229 and 27245 is 1.

Also check out the Least Common Multiple of 27229 and 27245