What is the Greatest Common Factor of 9022 and 9029?

Greatest common factor (GCF) of 9022 and 9029 is 1.

GCF(9022,9029) = 1

We will now calculate the prime factors of 9022 and 9029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9022 and 9029.

How to find the GCF of 9022 and 9029?

We will first find the prime factorization of 9022 and 9029. After we will calculate the factors of 9022 and 9029 and find the biggest common factor number .

Step-1: Prime Factorization of 9022

Prime factors of 9022 are 2, 13, 347. Prime factorization of 9022 in exponential form is:

9022 = 2¹ × 13¹ × 347¹

Step-2: Prime Factorization of 9029

Prime factors of 9029 are 9029. Prime factorization of 9029 in exponential form is:

9029 = 9029¹

Step-3: Factors of 9022

List of positive integer factors of 9022 that divides 9022 without a remainder.

1, 2, 13, 26, 347, 694, 4511

Step-4: Factors of 9029

List of positive integer factors of 9029 that divides 9022 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9022 and 9029. The biggest common factor number is the GCF number.
So the greatest common factor 9022 and 9029 is 1.

Also check out the Least Common Multiple of 9022 and 9029