What is the Greatest Common Factor of 60036 and 60048?

Greatest common factor (GCF) of 60036 and 60048 is 12.

GCF(60036,60048) = 12

We will now calculate the prime factors of 60036 and 60048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60036 and 60048.

How to find the GCF of 60036 and 60048?

We will first find the prime factorization of 60036 and 60048. After we will calculate the factors of 60036 and 60048 and find the biggest common factor number .

Step-1: Prime Factorization of 60036

Prime factors of 60036 are 2, 3, 5003. Prime factorization of 60036 in exponential form is:

60036 = 2² × 3¹ × 5003¹

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 60036

List of positive integer factors of 60036 that divides 60036 without a remainder.

1, 2, 3, 4, 6, 12, 5003, 10006, 15009, 20012, 30018

Step-4: Factors of 60048

List of positive integer factors of 60048 that divides 60036 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 60036 and 60048. The biggest common factor number is the GCF number.
So the greatest common factor 60036 and 60048 is 12.

Also check out the Least Common Multiple of 60036 and 60048