What is the Greatest Common Factor of 72022 and 72032?

Greatest common factor (GCF) of 72022 and 72032 is 2.

GCF(72022,72032) = 2

We will now calculate the prime factors of 72022 and 72032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72022 and 72032.

How to find the GCF of 72022 and 72032?

We will first find the prime factorization of 72022 and 72032. After we will calculate the factors of 72022 and 72032 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 72032

Prime factors of 72032 are 2, 2251. Prime factorization of 72032 in exponential form is:

72032 = 2⁵ × 2251¹

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 72032

List of positive integer factors of 72032 that divides 72022 without a remainder.

1, 2, 4, 8, 16, 32, 2251, 4502, 9004, 18008, 36016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72022 and 72032. The biggest common factor number is the GCF number.
So the greatest common factor 72022 and 72032 is 2.

Also check out the Least Common Multiple of 72022 and 72032