What is the Greatest Common Factor of 72022 and 72028?

Greatest common factor (GCF) of 72022 and 72028 is 2.

GCF(72022,72028) = 2

We will now calculate the prime factors of 72022 and 72028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72022 and 72028.

How to find the GCF of 72022 and 72028?

We will first find the prime factorization of 72022 and 72028. After we will calculate the factors of 72022 and 72028 and find the biggest common factor number .

Step-1: Prime Factorization of 72022

Prime factors of 72022 are 2, 36011. Prime factorization of 72022 in exponential form is:

72022 = 2¹ × 36011¹

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 72022

List of positive integer factors of 72022 that divides 72022 without a remainder.

1, 2, 36011

Step-4: Factors of 72028

List of positive integer factors of 72028 that divides 72022 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 72022 and 72028. The biggest common factor number is the GCF number.
So the greatest common factor 72022 and 72028 is 2.

Also check out the Least Common Multiple of 72022 and 72028