What is the Greatest Common Factor of 60048 and 60066?

Greatest common factor (GCF) of 60048 and 60066 is 18.

GCF(60048,60066) = 18

We will now calculate the prime factors of 60048 and 60066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60048 and 60066.

How to find the GCF of 60048 and 60066?

We will first find the prime factorization of 60048 and 60066. After we will calculate the factors of 60048 and 60066 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60066

Prime factors of 60066 are 2, 3, 47, 71. Prime factorization of 60066 in exponential form is:

60066 = 2¹ × 3² × 47¹ × 71¹

Step-3: Factors of 60048

List of positive integer factors of 60048 that divides 60048 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

Step-4: Factors of 60066

List of positive integer factors of 60066 that divides 60048 without a remainder.

1, 2, 3, 6, 9, 18, 47, 71, 94, 141, 142, 213, 282, 423, 426, 639, 846, 1278, 3337, 6674, 10011, 20022, 30033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60048 and 60066. The biggest common factor number is the GCF number.
So the greatest common factor 60048 and 60066 is 18.

Also check out the Least Common Multiple of 60048 and 60066