What is the Greatest Common Factor of 48072 and 48090?

Greatest common factor (GCF) of 48072 and 48090 is 6.

GCF(48072,48090) = 6

We will now calculate the prime factors of 48072 and 48090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48072 and 48090.

How to find the GCF of 48072 and 48090?

We will first find the prime factorization of 48072 and 48090. After we will calculate the factors of 48072 and 48090 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 48090

Prime factors of 48090 are 2, 3, 5, 7, 229. Prime factorization of 48090 in exponential form is:

48090 = 2¹ × 3¹ × 5¹ × 7¹ × 229¹

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 48090

List of positive integer factors of 48090 that divides 48072 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 229, 458, 687, 1145, 1374, 1603, 2290, 3206, 3435, 4809, 6870, 8015, 9618, 16030, 24045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48072 and 48090. The biggest common factor number is the GCF number.
So the greatest common factor 48072 and 48090 is 6.

Also check out the Least Common Multiple of 48072 and 48090