What is the Greatest Common Factor of 22029 and 22036?

Greatest common factor (GCF) of 22029 and 22036 is 7.

GCF(22029,22036) = 7

We will now calculate the prime factors of 22029 and 22036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22029 and 22036.

How to find the GCF of 22029 and 22036?

We will first find the prime factorization of 22029 and 22036. After we will calculate the factors of 22029 and 22036 and find the biggest common factor number .

Step-1: Prime Factorization of 22029

Prime factors of 22029 are 3, 7, 1049. Prime factorization of 22029 in exponential form is:

22029 = 3¹ × 7¹ × 1049¹

Step-2: Prime Factorization of 22036

Prime factors of 22036 are 2, 7, 787. Prime factorization of 22036 in exponential form is:

22036 = 2² × 7¹ × 787¹

Step-3: Factors of 22029

List of positive integer factors of 22029 that divides 22029 without a remainder.

1, 3, 7, 21, 1049, 3147, 7343

Step-4: Factors of 22036

List of positive integer factors of 22036 that divides 22029 without a remainder.

1, 2, 4, 7, 14, 28, 787, 1574, 3148, 5509, 11018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22029 and 22036. The biggest common factor number is the GCF number.
So the greatest common factor 22029 and 22036 is 7.

Also check out the Least Common Multiple of 22029 and 22036