What is the Greatest Common Factor of 72214 and 72220?

Greatest common factor (GCF) of 72214 and 72220 is 2.

GCF(72214,72220) = 2

We will now calculate the prime factors of 72214 and 72220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72214 and 72220.

How to find the GCF of 72214 and 72220?

We will first find the prime factorization of 72214 and 72220. After we will calculate the factors of 72214 and 72220 and find the biggest common factor number .

Step-1: Prime Factorization of 72214

Prime factors of 72214 are 2, 36107. Prime factorization of 72214 in exponential form is:

72214 = 2¹ × 36107¹

Step-2: Prime Factorization of 72220

Prime factors of 72220 are 2, 5, 23, 157. Prime factorization of 72220 in exponential form is:

72220 = 2² × 5¹ × 23¹ × 157¹

Step-3: Factors of 72214

List of positive integer factors of 72214 that divides 72214 without a remainder.

1, 2, 36107

Step-4: Factors of 72220

List of positive integer factors of 72220 that divides 72214 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 157, 230, 314, 460, 628, 785, 1570, 3140, 3611, 7222, 14444, 18055, 36110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72214 and 72220. The biggest common factor number is the GCF number.
So the greatest common factor 72214 and 72220 is 2.

Also check out the Least Common Multiple of 72214 and 72220