What is the Greatest Common Factor of 27230 and 27238?

Greatest common factor (GCF) of 27230 and 27238 is 2.

GCF(27230,27238) = 2

We will now calculate the prime factors of 27230 and 27238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27230 and 27238.

How to find the GCF of 27230 and 27238?

We will first find the prime factorization of 27230 and 27238. After we will calculate the factors of 27230 and 27238 and find the biggest common factor number .

Step-1: Prime Factorization of 27230

Prime factors of 27230 are 2, 5, 7, 389. Prime factorization of 27230 in exponential form is:

27230 = 2¹ × 5¹ × 7¹ × 389¹

Step-2: Prime Factorization of 27238

Prime factors of 27238 are 2, 13619. Prime factorization of 27238 in exponential form is:

27238 = 2¹ × 13619¹

Step-3: Factors of 27230

List of positive integer factors of 27230 that divides 27230 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 389, 778, 1945, 2723, 3890, 5446, 13615

Step-4: Factors of 27238

List of positive integer factors of 27238 that divides 27230 without a remainder.

1, 2, 13619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27230 and 27238. The biggest common factor number is the GCF number.
So the greatest common factor 27230 and 27238 is 2.

Also check out the Least Common Multiple of 27230 and 27238