What is the Greatest Common Factor of 48990 and 49008?

Greatest common factor (GCF) of 48990 and 49008 is 6.

GCF(48990,49008) = 6

We will now calculate the prime factors of 48990 and 49008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48990 and 49008.

How to find the GCF of 48990 and 49008?

We will first find the prime factorization of 48990 and 49008. After we will calculate the factors of 48990 and 49008 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 49008

Prime factors of 49008 are 2, 3, 1021. Prime factorization of 49008 in exponential form is:

49008 = 2⁴ × 3¹ × 1021¹

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 49008

List of positive integer factors of 49008 that divides 48990 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48990 and 49008. The biggest common factor number is the GCF number.
So the greatest common factor 48990 and 49008 is 6.

Also check out the Least Common Multiple of 48990 and 49008