What is the Greatest Common Factor of 72206 and 72220?

Greatest common factor (GCF) of 72206 and 72220 is 2.

GCF(72206,72220) = 2

We will now calculate the prime factors of 72206 and 72220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72206 and 72220.

How to find the GCF of 72206 and 72220?

We will first find the prime factorization of 72206 and 72220. After we will calculate the factors of 72206 and 72220 and find the biggest common factor number .

Step-1: Prime Factorization of 72206

Prime factors of 72206 are 2, 79, 457. Prime factorization of 72206 in exponential form is:

72206 = 2¹ × 79¹ × 457¹

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 72206

List of positive integer factors of 72206 that divides 72206 without a remainder.

1, 2, 79, 158, 457, 914, 36103

Step-4: Factors of 72220

List of positive integer factors of 72220 that divides 72206 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 72206 and 72220. The biggest common factor number is the GCF number.
So the greatest common factor 72206 and 72220 is 2.

Also check out the Least Common Multiple of 72206 and 72220