What is the Greatest Common Factor of 27214 and 27230?

Greatest common factor (GCF) of 27214 and 27230 is 2.

GCF(27214,27230) = 2

We will now calculate the prime factors of 27214 and 27230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27214 and 27230.

How to find the GCF of 27214 and 27230?

We will first find the prime factorization of 27214 and 27230. After we will calculate the factors of 27214 and 27230 and find the biggest common factor number .

Step-1: Prime Factorization of 27214

Prime factors of 27214 are 2, 11, 1237. Prime factorization of 27214 in exponential form is:

27214 = 2¹ × 11¹ × 1237¹

Step-2: 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-3: Factors of 27214

List of positive integer factors of 27214 that divides 27214 without a remainder.

1, 2, 11, 22, 1237, 2474, 13607

Step-4: Factors of 27230

List of positive integer factors of 27230 that divides 27214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27214 and 27230. The biggest common factor number is the GCF number.
So the greatest common factor 27214 and 27230 is 2.

Also check out the Least Common Multiple of 27214 and 27230