What is the Greatest Common Factor of 30214 and 30220?

Greatest common factor (GCF) of 30214 and 30220 is 2.

GCF(30214,30220) = 2

We will now calculate the prime factors of 30214 and 30220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30214 and 30220.

How to find the GCF of 30214 and 30220?

We will first find the prime factorization of 30214 and 30220. After we will calculate the factors of 30214 and 30220 and find the biggest common factor number .

Step-1: Prime Factorization of 30214

Prime factors of 30214 are 2, 15107. Prime factorization of 30214 in exponential form is:

30214 = 2¹ × 15107¹

Step-2: Prime Factorization of 30220

Prime factors of 30220 are 2, 5, 1511. Prime factorization of 30220 in exponential form is:

30220 = 2² × 5¹ × 1511¹

Step-3: Factors of 30214

List of positive integer factors of 30214 that divides 30214 without a remainder.

1, 2, 15107

Step-4: Factors of 30220

List of positive integer factors of 30220 that divides 30214 without a remainder.

1, 2, 4, 5, 10, 20, 1511, 3022, 6044, 7555, 15110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30214 and 30220. The biggest common factor number is the GCF number.
So the greatest common factor 30214 and 30220 is 2.

Also check out the Least Common Multiple of 30214 and 30220