What is the Greatest Common Factor of 9020 and 9032?

Greatest common factor (GCF) of 9020 and 9032 is 4.

GCF(9020,9032) = 4

We will now calculate the prime factors of 9020 and 9032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9020 and 9032.

How to find the GCF of 9020 and 9032?

We will first find the prime factorization of 9020 and 9032. After we will calculate the factors of 9020 and 9032 and find the biggest common factor number .

Step-1: Prime Factorization of 9020

Prime factors of 9020 are 2, 5, 11, 41. Prime factorization of 9020 in exponential form is:

9020 = 2² × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 9032

Prime factors of 9032 are 2, 1129. Prime factorization of 9032 in exponential form is:

9032 = 2³ × 1129¹

Step-3: Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510

Step-4: Factors of 9032

List of positive integer factors of 9032 that divides 9020 without a remainder.

1, 2, 4, 8, 1129, 2258, 4516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9020 and 9032. The biggest common factor number is the GCF number.
So the greatest common factor 9020 and 9032 is 4.

Also check out the Least Common Multiple of 9020 and 9032