What is the Greatest Common Factor of 60024 and 60030?

Greatest common factor (GCF) of 60024 and 60030 is 6.

GCF(60024,60030) = 6

We will now calculate the prime factors of 60024 and 60030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60024 and 60030.

How to find the GCF of 60024 and 60030?

We will first find the prime factorization of 60024 and 60030. After we will calculate the factors of 60024 and 60030 and find the biggest common factor number .

Step-1: Prime Factorization of 60024

Prime factors of 60024 are 2, 3, 41, 61. Prime factorization of 60024 in exponential form is:

60024 = 2³ × 3¹ × 41¹ × 61¹

Step-2: 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-3: Factors of 60024

List of positive integer factors of 60024 that divides 60024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 61, 82, 122, 123, 164, 183, 244, 246, 328, 366, 488, 492, 732, 984, 1464, 2501, 5002, 7503, 10004, 15006, 20008, 30012

Step-4: Factors of 60030

List of positive integer factors of 60030 that divides 60024 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60024 and 60030. The biggest common factor number is the GCF number.
So the greatest common factor 60024 and 60030 is 6.

Also check out the Least Common Multiple of 60024 and 60030