What is the Greatest Common Factor of 44990 and 45005?

Greatest common factor (GCF) of 44990 and 45005 is 5.

GCF(44990,45005) = 5

We will now calculate the prime factors of 44990 and 45005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44990 and 45005.

How to find the GCF of 44990 and 45005?

We will first find the prime factorization of 44990 and 45005. After we will calculate the factors of 44990 and 45005 and find the biggest common factor number .

Step-1: Prime Factorization of 44990

Prime factors of 44990 are 2, 5, 11, 409. Prime factorization of 44990 in exponential form is:

44990 = 2¹ × 5¹ × 11¹ × 409¹

Step-2: Prime Factorization of 45005

Prime factors of 45005 are 5, 9001. Prime factorization of 45005 in exponential form is:

45005 = 5¹ × 9001¹

Step-3: Factors of 44990

List of positive integer factors of 44990 that divides 44990 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 409, 818, 2045, 4090, 4499, 8998, 22495

Step-4: Factors of 45005

List of positive integer factors of 45005 that divides 44990 without a remainder.

1, 5, 9001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44990 and 45005. The biggest common factor number is the GCF number.
So the greatest common factor 44990 and 45005 is 5.

Also check out the Least Common Multiple of 44990 and 45005