What is the Greatest Common Factor of 60030 and 60048?

Greatest common factor (GCF) of 60030 and 60048 is 18.

GCF(60030,60048) = 18

We will now calculate the prime factors of 60030 and 60048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60030 and 60048.

How to find the GCF of 60030 and 60048?

We will first find the prime factorization of 60030 and 60048. After we will calculate the factors of 60030 and 60048 and find the biggest common factor number .

Step-1: Prime Factorization of 60030

Prime factors of 60030 are 2, 3, 5, 23, 29. Prime factorization of 60030 in exponential form is:

60030 = 2¹ × 3² × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 60048

Prime factors of 60048 are 2, 3, 139. Prime factorization of 60048 in exponential form is:

60048 = 2⁴ × 3³ × 139¹

Step-3: Factors of 60030

List of positive integer factors of 60030 that divides 60030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 29, 30, 45, 46, 58, 69, 87, 90, 115, 138, 145, 174, 207, 230, 261, 290, 345, 414, 435, 522, 667, 690, 870, 1035, 1305, 1334, 2001, 2070, 2610, 3335, 4002, 6003, 6670, 10005, 12006, 20010, 30015

Step-4: Factors of 60048

List of positive integer factors of 60048 that divides 60030 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 139, 144, 216, 278, 417, 432, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 3753, 5004, 6672, 7506, 10008, 15012, 20016, 30024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60030 and 60048. The biggest common factor number is the GCF number.
So the greatest common factor 60030 and 60048 is 18.

Also check out the Least Common Multiple of 60030 and 60048