What is the Greatest Common Factor of 60072 and 60089?

Greatest common factor (GCF) of 60072 and 60089 is 1.

GCF(60072,60089) = 1

We will now calculate the prime factors of 60072 and 60089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60072 and 60089.

How to find the GCF of 60072 and 60089?

We will first find the prime factorization of 60072 and 60089. After we will calculate the factors of 60072 and 60089 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 60089

Prime factors of 60089 are 60089. Prime factorization of 60089 in exponential form is:

60089 = 60089¹

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 60089

List of positive integer factors of 60089 that divides 60072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60072 and 60089. The biggest common factor number is the GCF number.
So the greatest common factor 60072 and 60089 is 1.

Also check out the Least Common Multiple of 60072 and 60089