What is the Greatest Common Factor of 12060 and 12064?

Greatest common factor (GCF) of 12060 and 12064 is 4.

GCF(12060,12064) = 4

We will now calculate the prime factors of 12060 and 12064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12060 and 12064.

How to find the GCF of 12060 and 12064?

We will first find the prime factorization of 12060 and 12064. After we will calculate the factors of 12060 and 12064 and find the biggest common factor number .

Step-1: Prime Factorization of 12060

Prime factors of 12060 are 2, 3, 5, 67. Prime factorization of 12060 in exponential form is:

12060 = 2² × 3² × 5¹ × 67¹

Step-2: Prime Factorization of 12064

Prime factors of 12064 are 2, 13, 29. Prime factorization of 12064 in exponential form is:

12064 = 2⁵ × 13¹ × 29¹

Step-3: Factors of 12060

List of positive integer factors of 12060 that divides 12060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 67, 90, 134, 180, 201, 268, 335, 402, 603, 670, 804, 1005, 1206, 1340, 2010, 2412, 3015, 4020, 6030

Step-4: Factors of 12064

List of positive integer factors of 12064 that divides 12060 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 32, 52, 58, 104, 116, 208, 232, 377, 416, 464, 754, 928, 1508, 3016, 6032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12060 and 12064. The biggest common factor number is the GCF number.
So the greatest common factor 12060 and 12064 is 4.

Also check out the Least Common Multiple of 12060 and 12064