What is the Greatest Common Factor of 10024 and 10028?

Greatest common factor (GCF) of 10024 and 10028 is 4.

GCF(10024,10028) = 4

We will now calculate the prime factors of 10024 and 10028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10024 and 10028.

How to find the GCF of 10024 and 10028?

We will first find the prime factorization of 10024 and 10028. After we will calculate the factors of 10024 and 10028 and find the biggest common factor number .

Step-1: Prime Factorization of 10024

Prime factors of 10024 are 2, 7, 179. Prime factorization of 10024 in exponential form is:

10024 = 2³ × 7¹ × 179¹

Step-2: Prime Factorization of 10028

Prime factors of 10028 are 2, 23, 109. Prime factorization of 10028 in exponential form is:

10028 = 2² × 23¹ × 109¹

Step-3: Factors of 10024

List of positive integer factors of 10024 that divides 10024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012

Step-4: Factors of 10028

List of positive integer factors of 10028 that divides 10024 without a remainder.

1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10024 and 10028. The biggest common factor number is the GCF number.
So the greatest common factor 10024 and 10028 is 4.

Also check out the Least Common Multiple of 10024 and 10028