What is the Greatest Common Factor of 44935 and 44950?

Greatest common factor (GCF) of 44935 and 44950 is 5.

GCF(44935,44950) = 5

We will now calculate the prime factors of 44935 and 44950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44935 and 44950.

How to find the GCF of 44935 and 44950?

We will first find the prime factorization of 44935 and 44950. After we will calculate the factors of 44935 and 44950 and find the biggest common factor number .

Step-1: Prime Factorization of 44935

Prime factors of 44935 are 5, 11, 19, 43. Prime factorization of 44935 in exponential form is:

44935 = 5¹ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 44950

Prime factors of 44950 are 2, 5, 29, 31. Prime factorization of 44950 in exponential form is:

44950 = 2¹ × 5² × 29¹ × 31¹

Step-3: Factors of 44935

List of positive integer factors of 44935 that divides 44935 without a remainder.

1, 5, 11, 19, 43, 55, 95, 209, 215, 473, 817, 1045, 2365, 4085, 8987

Step-4: Factors of 44950

List of positive integer factors of 44950 that divides 44935 without a remainder.

1, 2, 5, 10, 25, 29, 31, 50, 58, 62, 145, 155, 290, 310, 725, 775, 899, 1450, 1550, 1798, 4495, 8990, 22475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44935 and 44950. The biggest common factor number is the GCF number.
So the greatest common factor 44935 and 44950 is 5.

Also check out the Least Common Multiple of 44935 and 44950