What is the Greatest Common Factor of 48030 and 48044?

Greatest common factor (GCF) of 48030 and 48044 is 2.

GCF(48030,48044) = 2

We will now calculate the prime factors of 48030 and 48044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48030 and 48044.

How to find the GCF of 48030 and 48044?

We will first find the prime factorization of 48030 and 48044. After we will calculate the factors of 48030 and 48044 and find the biggest common factor number .

Step-1: Prime Factorization of 48030

Prime factors of 48030 are 2, 3, 5, 1601. Prime factorization of 48030 in exponential form is:

48030 = 2¹ × 3¹ × 5¹ × 1601¹

Step-2: Prime Factorization of 48044

Prime factors of 48044 are 2, 12011. Prime factorization of 48044 in exponential form is:

48044 = 2² × 12011¹

Step-3: Factors of 48030

List of positive integer factors of 48030 that divides 48030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1601, 3202, 4803, 8005, 9606, 16010, 24015

Step-4: Factors of 48044

List of positive integer factors of 48044 that divides 48030 without a remainder.

1, 2, 4, 12011, 24022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48030 and 48044. The biggest common factor number is the GCF number.
So the greatest common factor 48030 and 48044 is 2.

Also check out the Least Common Multiple of 48030 and 48044