What is the Greatest Common Factor of 72016 and 72023?

Greatest common factor (GCF) of 72016 and 72023 is 7.

GCF(72016,72023) = 7

We will now calculate the prime factors of 72016 and 72023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72016 and 72023.

How to find the GCF of 72016 and 72023?

We will first find the prime factorization of 72016 and 72023. After we will calculate the factors of 72016 and 72023 and find the biggest common factor number .

Step-1: Prime Factorization of 72016

Prime factors of 72016 are 2, 7, 643. Prime factorization of 72016 in exponential form is:

72016 = 2⁴ × 7¹ × 643¹

Step-2: Prime Factorization of 72023

Prime factors of 72023 are 7, 10289. Prime factorization of 72023 in exponential form is:

72023 = 7¹ × 10289¹

Step-3: Factors of 72016

List of positive integer factors of 72016 that divides 72016 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 643, 1286, 2572, 4501, 5144, 9002, 10288, 18004, 36008

Step-4: Factors of 72023

List of positive integer factors of 72023 that divides 72016 without a remainder.

1, 7, 10289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72016 and 72023. The biggest common factor number is the GCF number.
So the greatest common factor 72016 and 72023 is 7.

Also check out the Least Common Multiple of 72016 and 72023