What is the Greatest Common Factor of 7214 and 7230?

Greatest common factor (GCF) of 7214 and 7230 is 2.

GCF(7214,7230) = 2

We will now calculate the prime factors of 7214 and 7230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7214 and 7230.

How to find the GCF of 7214 and 7230?

We will first find the prime factorization of 7214 and 7230. After we will calculate the factors of 7214 and 7230 and find the biggest common factor number .

Step-1: Prime Factorization of 7214

Prime factors of 7214 are 2, 3607. Prime factorization of 7214 in exponential form is:

7214 = 2¹ × 3607¹

Step-2: Prime Factorization of 7230

Prime factors of 7230 are 2, 3, 5, 241. Prime factorization of 7230 in exponential form is:

7230 = 2¹ × 3¹ × 5¹ × 241¹

Step-3: Factors of 7214

List of positive integer factors of 7214 that divides 7214 without a remainder.

1, 2, 3607

Step-4: Factors of 7230

List of positive integer factors of 7230 that divides 7214 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7214 and 7230. The biggest common factor number is the GCF number.
So the greatest common factor 7214 and 7230 is 2.

Also check out the Least Common Multiple of 7214 and 7230