What is the Greatest Common Factor of 72014 and 72028?

Greatest common factor (GCF) of 72014 and 72028 is 2.

GCF(72014,72028) = 2

We will now calculate the prime factors of 72014 and 72028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72014 and 72028.

How to find the GCF of 72014 and 72028?

We will first find the prime factorization of 72014 and 72028. After we will calculate the factors of 72014 and 72028 and find the biggest common factor number .

Step-1: Prime Factorization of 72014

Prime factors of 72014 are 2, 36007. Prime factorization of 72014 in exponential form is:

72014 = 2¹ × 36007¹

Step-2: Prime Factorization of 72028

Prime factors of 72028 are 2, 11, 1637. Prime factorization of 72028 in exponential form is:

72028 = 2² × 11¹ × 1637¹

Step-3: Factors of 72014

List of positive integer factors of 72014 that divides 72014 without a remainder.

1, 2, 36007

Step-4: Factors of 72028

List of positive integer factors of 72028 that divides 72014 without a remainder.

1, 2, 4, 11, 22, 44, 1637, 3274, 6548, 18007, 36014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72014 and 72028. The biggest common factor number is the GCF number.
So the greatest common factor 72014 and 72028 is 2.

Also check out the Least Common Multiple of 72014 and 72028