What is the Greatest Common Factor of 90024 and 90028?

Greatest common factor (GCF) of 90024 and 90028 is 4.

GCF(90024,90028) = 4

We will now calculate the prime factors of 90024 and 90028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90024 and 90028.

How to find the GCF of 90024 and 90028?

We will first find the prime factorization of 90024 and 90028. After we will calculate the factors of 90024 and 90028 and find the biggest common factor number .

Step-1: Prime Factorization of 90024

Prime factors of 90024 are 2, 3, 11, 31. Prime factorization of 90024 in exponential form is:

90024 = 2³ × 3¹ × 11² × 31¹

Step-2: Prime Factorization of 90028

Prime factors of 90028 are 2, 71, 317. Prime factorization of 90028 in exponential form is:

90028 = 2² × 71¹ × 317¹

Step-3: Factors of 90024

List of positive integer factors of 90024 that divides 90024 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 121, 124, 132, 186, 242, 248, 264, 341, 363, 372, 484, 682, 726, 744, 968, 1023, 1364, 1452, 2046, 2728, 2904, 3751, 4092, 7502, 8184, 11253, 15004, 22506, 30008, 45012

Step-4: Factors of 90028

List of positive integer factors of 90028 that divides 90024 without a remainder.

1, 2, 4, 71, 142, 284, 317, 634, 1268, 22507, 45014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90024 and 90028. The biggest common factor number is the GCF number.
So the greatest common factor 90024 and 90028 is 4.

Also check out the Least Common Multiple of 90024 and 90028