What is the Greatest Common Factor of 44675 and 44690?

Greatest common factor (GCF) of 44675 and 44690 is 5.

GCF(44675,44690) = 5

We will now calculate the prime factors of 44675 and 44690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44675 and 44690.

How to find the GCF of 44675 and 44690?

We will first find the prime factorization of 44675 and 44690. After we will calculate the factors of 44675 and 44690 and find the biggest common factor number .

Step-1: Prime Factorization of 44675

Prime factors of 44675 are 5, 1787. Prime factorization of 44675 in exponential form is:

44675 = 5² × 1787¹

Step-2: Prime Factorization of 44690

Prime factors of 44690 are 2, 5, 41, 109. Prime factorization of 44690 in exponential form is:

44690 = 2¹ × 5¹ × 41¹ × 109¹

Step-3: Factors of 44675

List of positive integer factors of 44675 that divides 44675 without a remainder.

1, 5, 25, 1787, 8935

Step-4: Factors of 44690

List of positive integer factors of 44690 that divides 44675 without a remainder.

1, 2, 5, 10, 41, 82, 109, 205, 218, 410, 545, 1090, 4469, 8938, 22345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44675 and 44690. The biggest common factor number is the GCF number.
So the greatest common factor 44675 and 44690 is 5.

Also check out the Least Common Multiple of 44675 and 44690