What is the Greatest Common Factor of 48030 and 48045?

Greatest common factor (GCF) of 48030 and 48045 is 15.

GCF(48030,48045) = 15

We will now calculate the prime factors of 48030 and 48045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48030 and 48045.

How to find the GCF of 48030 and 48045?

We will first find the prime factorization of 48030 and 48045. After we will calculate the factors of 48030 and 48045 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 48045

Prime factors of 48045 are 3, 5, 3203. Prime factorization of 48045 in exponential form is:

48045 = 3¹ × 5¹ × 3203¹

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 48045

List of positive integer factors of 48045 that divides 48030 without a remainder.

1, 3, 5, 15, 3203, 9609, 16015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48030 and 48045. The biggest common factor number is the GCF number.
So the greatest common factor 48030 and 48045 is 15.

Also check out the Least Common Multiple of 48030 and 48045