What is the Greatest Common Factor of 96060 and 96072?

Greatest common factor (GCF) of 96060 and 96072 is 12.

GCF(96060,96072) = 12

We will now calculate the prime factors of 96060 and 96072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96060 and 96072.

How to find the GCF of 96060 and 96072?

We will first find the prime factorization of 96060 and 96072. After we will calculate the factors of 96060 and 96072 and find the biggest common factor number .

Step-1: Prime Factorization of 96060

Prime factors of 96060 are 2, 3, 5, 1601. Prime factorization of 96060 in exponential form is:

96060 = 2² × 3¹ × 5¹ × 1601¹

Step-2: Prime Factorization of 96072

Prime factors of 96072 are 2, 3, 4003. Prime factorization of 96072 in exponential form is:

96072 = 2³ × 3¹ × 4003¹

Step-3: Factors of 96060

List of positive integer factors of 96060 that divides 96060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1601, 3202, 4803, 6404, 8005, 9606, 16010, 19212, 24015, 32020, 48030

Step-4: Factors of 96072

List of positive integer factors of 96072 that divides 96060 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4003, 8006, 12009, 16012, 24018, 32024, 48036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96060 and 96072. The biggest common factor number is the GCF number.
So the greatest common factor 96060 and 96072 is 12.

Also check out the Least Common Multiple of 96060 and 96072