What is the Greatest Common Factor of 48990 and 48999?

Greatest common factor (GCF) of 48990 and 48999 is 3.

GCF(48990,48999) = 3

We will now calculate the prime factors of 48990 and 48999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48990 and 48999.

How to find the GCF of 48990 and 48999?

We will first find the prime factorization of 48990 and 48999. After we will calculate the factors of 48990 and 48999 and find the biggest common factor number .

Step-1: Prime Factorization of 48990

Prime factors of 48990 are 2, 3, 5, 23, 71. Prime factorization of 48990 in exponential form is:

48990 = 2¹ × 3¹ × 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 48999

Prime factors of 48999 are 3, 16333. Prime factorization of 48999 in exponential form is:

48999 = 3¹ × 16333¹

Step-3: Factors of 48990

List of positive integer factors of 48990 that divides 48990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 71, 115, 138, 142, 213, 230, 345, 355, 426, 690, 710, 1065, 1633, 2130, 3266, 4899, 8165, 9798, 16330, 24495

Step-4: Factors of 48999

List of positive integer factors of 48999 that divides 48990 without a remainder.

1, 3, 16333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48990 and 48999. The biggest common factor number is the GCF number.
So the greatest common factor 48990 and 48999 is 3.

Also check out the Least Common Multiple of 48990 and 48999