What is the Greatest Common Factor of 22016 and 22035?

Greatest common factor (GCF) of 22016 and 22035 is 1.

GCF(22016,22035) = 1

We will now calculate the prime factors of 22016 and 22035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22016 and 22035.

How to find the GCF of 22016 and 22035?

We will first find the prime factorization of 22016 and 22035. After we will calculate the factors of 22016 and 22035 and find the biggest common factor number .

Step-1: Prime Factorization of 22016

Prime factors of 22016 are 2, 43. Prime factorization of 22016 in exponential form is:

22016 = 2⁹ × 43¹

Step-2: Prime Factorization of 22035

Prime factors of 22035 are 3, 5, 13, 113. Prime factorization of 22035 in exponential form is:

22035 = 3¹ × 5¹ × 13¹ × 113¹

Step-3: Factors of 22016

List of positive integer factors of 22016 that divides 22016 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1376, 2752, 5504, 11008

Step-4: Factors of 22035

List of positive integer factors of 22035 that divides 22016 without a remainder.

1, 3, 5, 13, 15, 39, 65, 113, 195, 339, 565, 1469, 1695, 4407, 7345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22016 and 22035. The biggest common factor number is the GCF number.
So the greatest common factor 22016 and 22035 is 1.

Also check out the Least Common Multiple of 22016 and 22035