What is the Greatest Common Factor of 22014 and 22029?

Greatest common factor (GCF) of 22014 and 22029 is 3.

GCF(22014,22029) = 3

We will now calculate the prime factors of 22014 and 22029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22014 and 22029.

How to find the GCF of 22014 and 22029?

We will first find the prime factorization of 22014 and 22029. After we will calculate the factors of 22014 and 22029 and find the biggest common factor number .

Step-1: Prime Factorization of 22014

Prime factors of 22014 are 2, 3, 1223. Prime factorization of 22014 in exponential form is:

22014 = 2¹ × 3² × 1223¹

Step-2: 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-3: Factors of 22014

List of positive integer factors of 22014 that divides 22014 without a remainder.

1, 2, 3, 6, 9, 18, 1223, 2446, 3669, 7338, 11007

Step-4: Factors of 22029

List of positive integer factors of 22029 that divides 22014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22014 and 22029. The biggest common factor number is the GCF number.
So the greatest common factor 22014 and 22029 is 3.

Also check out the Least Common Multiple of 22014 and 22029