What is the Greatest Common Factor of 22029 and 22049?

Greatest common factor (GCF) of 22029 and 22049 is 1.

GCF(22029,22049) = 1

We will now calculate the prime factors of 22029 and 22049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22029 and 22049.

How to find the GCF of 22029 and 22049?

We will first find the prime factorization of 22029 and 22049. After we will calculate the factors of 22029 and 22049 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 22049

Prime factors of 22049 are 17, 1297. Prime factorization of 22049 in exponential form is:

22049 = 17¹ × 1297¹

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 22049

List of positive integer factors of 22049 that divides 22029 without a remainder.

1, 17, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22029 and 22049. The biggest common factor number is the GCF number.
So the greatest common factor 22029 and 22049 is 1.

Also check out the Least Common Multiple of 22029 and 22049