What is the Greatest Common Factor of 30048 and 30062?

Greatest common factor (GCF) of 30048 and 30062 is 2.

GCF(30048,30062) = 2

We will now calculate the prime factors of 30048 and 30062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30048 and 30062.

How to find the GCF of 30048 and 30062?

We will first find the prime factorization of 30048 and 30062. After we will calculate the factors of 30048 and 30062 and find the biggest common factor number .

Step-1: Prime Factorization of 30048

Prime factors of 30048 are 2, 3, 313. Prime factorization of 30048 in exponential form is:

30048 = 2⁵ × 3¹ × 313¹

Step-2: Prime Factorization of 30062

Prime factors of 30062 are 2, 15031. Prime factorization of 30062 in exponential form is:

30062 = 2¹ × 15031¹

Step-3: Factors of 30048

List of positive integer factors of 30048 that divides 30048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024

Step-4: Factors of 30062

List of positive integer factors of 30062 that divides 30048 without a remainder.

1, 2, 15031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30048 and 30062. The biggest common factor number is the GCF number.
So the greatest common factor 30048 and 30062 is 2.

Also check out the Least Common Multiple of 30048 and 30062