What is the Greatest Common Factor of 60072 and 60081?

Greatest common factor (GCF) of 60072 and 60081 is 3.

GCF(60072,60081) = 3

We will now calculate the prime factors of 60072 and 60081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60072 and 60081.

How to find the GCF of 60072 and 60081?

We will first find the prime factorization of 60072 and 60081. After we will calculate the factors of 60072 and 60081 and find the biggest common factor number .

Step-1: Prime Factorization of 60072

Prime factors of 60072 are 2, 3, 2503. Prime factorization of 60072 in exponential form is:

60072 = 2³ × 3¹ × 2503¹

Step-2: Prime Factorization of 60081

Prime factors of 60081 are 3, 7, 2861. Prime factorization of 60081 in exponential form is:

60081 = 3¹ × 7¹ × 2861¹

Step-3: Factors of 60072

List of positive integer factors of 60072 that divides 60072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2503, 5006, 7509, 10012, 15018, 20024, 30036

Step-4: Factors of 60081

List of positive integer factors of 60081 that divides 60072 without a remainder.

1, 3, 7, 21, 2861, 8583, 20027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60072 and 60081. The biggest common factor number is the GCF number.
So the greatest common factor 60072 and 60081 is 3.

Also check out the Least Common Multiple of 60072 and 60081