What is the Greatest Common Factor of 9022 and 9035?

Greatest common factor (GCF) of 9022 and 9035 is 13.

GCF(9022,9035) = 13

We will now calculate the prime factors of 9022 and 9035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9022 and 9035.

How to find the GCF of 9022 and 9035?

We will first find the prime factorization of 9022 and 9035. After we will calculate the factors of 9022 and 9035 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 9035

Prime factors of 9035 are 5, 13, 139. Prime factorization of 9035 in exponential form is:

9035 = 5¹ × 13¹ × 139¹

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 9035

List of positive integer factors of 9035 that divides 9022 without a remainder.

1, 5, 13, 65, 139, 695, 1807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9022 and 9035. The biggest common factor number is the GCF number.
So the greatest common factor 9022 and 9035 is 13.

Also check out the Least Common Multiple of 9022 and 9035