What is the Greatest Common Factor of 72016 and 72034?

Greatest common factor (GCF) of 72016 and 72034 is 2.

GCF(72016,72034) = 2

We will now calculate the prime factors of 72016 and 72034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72016 and 72034.

How to find the GCF of 72016 and 72034?

We will first find the prime factorization of 72016 and 72034. After we will calculate the factors of 72016 and 72034 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 72034

Prime factors of 72034 are 2, 36017. Prime factorization of 72034 in exponential form is:

72034 = 2¹ × 36017¹

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 72034

List of positive integer factors of 72034 that divides 72016 without a remainder.

1, 2, 36017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72016 and 72034. The biggest common factor number is the GCF number.
So the greatest common factor 72016 and 72034 is 2.

Also check out the Least Common Multiple of 72016 and 72034