What is the Greatest Common Factor of 2016 and 2035?

Greatest common factor (GCF) of 2016 and 2035 is 1.

GCF(2016,2035) = 1

We will now calculate the prime factors of 2016 and 2035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2016 and 2035.

How to find the GCF of 2016 and 2035?

We will first find the prime factorization of 2016 and 2035. After we will calculate the factors of 2016 and 2035 and find the biggest common factor number .

Step-1: Prime Factorization of 2016

Prime factors of 2016 are 2, 3, 7. Prime factorization of 2016 in exponential form is:

2016 = 2⁵ × 3² × 7¹

Step-2: Prime Factorization of 2035

Prime factors of 2035 are 5, 11, 37. Prime factorization of 2035 in exponential form is:

2035 = 5¹ × 11¹ × 37¹

Step-3: Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008

Step-4: Factors of 2035

List of positive integer factors of 2035 that divides 2016 without a remainder.

1, 5, 11, 37, 55, 185, 407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2016 and 2035. The biggest common factor number is the GCF number.
So the greatest common factor 2016 and 2035 is 1.

Also check out the Least Common Multiple of 2016 and 2035