What is the Greatest Common Factor of 30048 and 30052?

Greatest common factor (GCF) of 30048 and 30052 is 4.

GCF(30048,30052) = 4

We will now calculate the prime factors of 30048 and 30052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30048 and 30052.

How to find the GCF of 30048 and 30052?

We will first find the prime factorization of 30048 and 30052. After we will calculate the factors of 30048 and 30052 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 30052

Prime factors of 30052 are 2, 11, 683. Prime factorization of 30052 in exponential form is:

30052 = 2² × 11¹ × 683¹

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 30052

List of positive integer factors of 30052 that divides 30048 without a remainder.

1, 2, 4, 11, 22, 44, 683, 1366, 2732, 7513, 15026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30048 and 30052. The biggest common factor number is the GCF number.
So the greatest common factor 30048 and 30052 is 4.

Also check out the Least Common Multiple of 30048 and 30052