What is the Greatest Common Factor of 48072 and 48077?

Greatest common factor (GCF) of 48072 and 48077 is 1.

GCF(48072,48077) = 1

We will now calculate the prime factors of 48072 and 48077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48072 and 48077.

How to find the GCF of 48072 and 48077?

We will first find the prime factorization of 48072 and 48077. After we will calculate the factors of 48072 and 48077 and find the biggest common factor number .

Step-1: Prime Factorization of 48072

Prime factors of 48072 are 2, 3, 2003. Prime factorization of 48072 in exponential form is:

48072 = 2³ × 3¹ × 2003¹

Step-2: Prime Factorization of 48077

Prime factors of 48077 are 131, 367. Prime factorization of 48077 in exponential form is:

48077 = 131¹ × 367¹

Step-3: Factors of 48072

List of positive integer factors of 48072 that divides 48072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006, 6009, 8012, 12018, 16024, 24036

Step-4: Factors of 48077

List of positive integer factors of 48077 that divides 48072 without a remainder.

1, 131, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48072 and 48077. The biggest common factor number is the GCF number.
So the greatest common factor 48072 and 48077 is 1.

Also check out the Least Common Multiple of 48072 and 48077