What is the Greatest Common Factor of 48990 and 49010?

Greatest common factor (GCF) of 48990 and 49010 is 10.

GCF(48990,49010) = 10

We will now calculate the prime factors of 48990 and 49010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48990 and 49010.

How to find the GCF of 48990 and 49010?

We will first find the prime factorization of 48990 and 49010. After we will calculate the factors of 48990 and 49010 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 49010

Prime factors of 49010 are 2, 5, 13, 29. Prime factorization of 49010 in exponential form is:

49010 = 2¹ × 5¹ × 13² × 29¹

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 49010

List of positive integer factors of 49010 that divides 48990 without a remainder.

1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 169, 290, 338, 377, 754, 845, 1690, 1885, 3770, 4901, 9802, 24505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48990 and 49010. The biggest common factor number is the GCF number.
So the greatest common factor 48990 and 49010 is 10.

Also check out the Least Common Multiple of 48990 and 49010