What is the Greatest Common Factor of 96072 and 96080?

Greatest common factor (GCF) of 96072 and 96080 is 8.

GCF(96072,96080) = 8

We will now calculate the prime factors of 96072 and 96080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96072 and 96080.

How to find the GCF of 96072 and 96080?

We will first find the prime factorization of 96072 and 96080. After we will calculate the factors of 96072 and 96080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96080

Prime factors of 96080 are 2, 5, 1201. Prime factorization of 96080 in exponential form is:

96080 = 2⁴ × 5¹ × 1201¹

Step-3: Factors of 96072

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

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

Step-4: Factors of 96080

List of positive integer factors of 96080 that divides 96072 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1201, 2402, 4804, 6005, 9608, 12010, 19216, 24020, 48040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96072 and 96080. The biggest common factor number is the GCF number.
So the greatest common factor 96072 and 96080 is 8.

Also check out the Least Common Multiple of 96072 and 96080