What is the Greatest Common Factor of 44950 and 44965?

Greatest common factor (GCF) of 44950 and 44965 is 5.

GCF(44950,44965) = 5

We will now calculate the prime factors of 44950 and 44965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44950 and 44965.

How to find the GCF of 44950 and 44965?

We will first find the prime factorization of 44950 and 44965. After we will calculate the factors of 44950 and 44965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44965

Prime factors of 44965 are 5, 17, 23. Prime factorization of 44965 in exponential form is:

44965 = 5¹ × 17¹ × 23²

Step-3: Factors of 44950

List of positive integer factors of 44950 that divides 44950 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

Step-4: Factors of 44965

List of positive integer factors of 44965 that divides 44950 without a remainder.

1, 5, 17, 23, 85, 115, 391, 529, 1955, 2645, 8993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44950 and 44965. The biggest common factor number is the GCF number.
So the greatest common factor 44950 and 44965 is 5.

Also check out the Least Common Multiple of 44950 and 44965