What is the Greatest Common Factor of 22035 and 22055?

Greatest common factor (GCF) of 22035 and 22055 is 5.

GCF(22035,22055) = 5

We will now calculate the prime factors of 22035 and 22055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22035 and 22055.

How to find the GCF of 22035 and 22055?

We will first find the prime factorization of 22035 and 22055. After we will calculate the factors of 22035 and 22055 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22055

Prime factors of 22055 are 5, 11, 401. Prime factorization of 22055 in exponential form is:

22055 = 5¹ × 11¹ × 401¹

Step-3: Factors of 22035

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

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

Step-4: Factors of 22055

List of positive integer factors of 22055 that divides 22035 without a remainder.

1, 5, 11, 55, 401, 2005, 4411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22035 and 22055. The biggest common factor number is the GCF number.
So the greatest common factor 22035 and 22055 is 5.

Also check out the Least Common Multiple of 22035 and 22055