What is the Greatest Common Factor of 36016 and 36034?

Greatest common factor (GCF) of 36016 and 36034 is 2.

GCF(36016,36034) = 2

We will now calculate the prime factors of 36016 and 36034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36016 and 36034.

How to find the GCF of 36016 and 36034?

We will first find the prime factorization of 36016 and 36034. After we will calculate the factors of 36016 and 36034 and find the biggest common factor number .

Step-1: Prime Factorization of 36016

Prime factors of 36016 are 2, 2251. Prime factorization of 36016 in exponential form is:

36016 = 2⁴ × 2251¹

Step-2: Prime Factorization of 36034

Prime factors of 36034 are 2, 43, 419. Prime factorization of 36034 in exponential form is:

36034 = 2¹ × 43¹ × 419¹

Step-3: Factors of 36016

List of positive integer factors of 36016 that divides 36016 without a remainder.

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

Step-4: Factors of 36034

List of positive integer factors of 36034 that divides 36016 without a remainder.

1, 2, 43, 86, 419, 838, 18017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36016 and 36034. The biggest common factor number is the GCF number.
So the greatest common factor 36016 and 36034 is 2.

Also check out the Least Common Multiple of 36016 and 36034