What is the Greatest Common Factor of 72208 and 72214?

Greatest common factor (GCF) of 72208 and 72214 is 2.

GCF(72208,72214) = 2

We will now calculate the prime factors of 72208 and 72214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72208 and 72214.

How to find the GCF of 72208 and 72214?

We will first find the prime factorization of 72208 and 72214. After we will calculate the factors of 72208 and 72214 and find the biggest common factor number .

Step-1: Prime Factorization of 72208

Prime factors of 72208 are 2, 4513. Prime factorization of 72208 in exponential form is:

72208 = 2⁴ × 4513¹

Step-2: Prime Factorization of 72214

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

72214 = 2¹ × 36107¹

Step-3: Factors of 72208

List of positive integer factors of 72208 that divides 72208 without a remainder.

1, 2, 4, 8, 16, 4513, 9026, 18052, 36104

Step-4: Factors of 72214

List of positive integer factors of 72214 that divides 72208 without a remainder.

1, 2, 36107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72208 and 72214. The biggest common factor number is the GCF number.
So the greatest common factor 72208 and 72214 is 2.

Also check out the Least Common Multiple of 72208 and 72214