What is the Greatest Common Factor of 72077 and 72084?

Greatest common factor (GCF) of 72077 and 72084 is 1.

GCF(72077,72084) = 1

We will now calculate the prime factors of 72077 and 72084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72077 and 72084.

How to find the GCF of 72077 and 72084?

We will first find the prime factorization of 72077 and 72084. After we will calculate the factors of 72077 and 72084 and find the biggest common factor number .

Step-1: Prime Factorization of 72077

Prime factors of 72077 are 72077. Prime factorization of 72077 in exponential form is:

72077 = 72077¹

Step-2: Prime Factorization of 72084

Prime factors of 72084 are 2, 3, 6007. Prime factorization of 72084 in exponential form is:

72084 = 2² × 3¹ × 6007¹

Step-3: Factors of 72077

List of positive integer factors of 72077 that divides 72077 without a remainder.

Step-4: Factors of 72084

List of positive integer factors of 72084 that divides 72077 without a remainder.

1, 2, 3, 4, 6, 12, 6007, 12014, 18021, 24028, 36042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72077 and 72084. The biggest common factor number is the GCF number.
So the greatest common factor 72077 and 72084 is 1.

Also check out the Least Common Multiple of 72077 and 72084