What is the Greatest Common Factor of 44950 and 44963?

Greatest common factor (GCF) of 44950 and 44963 is 1.

GCF(44950,44963) = 1

We will now calculate the prime factors of 44950 and 44963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44950 and 44963.

How to find the GCF of 44950 and 44963?

We will first find the prime factorization of 44950 and 44963. After we will calculate the factors of 44950 and 44963 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 44963

Prime factors of 44963 are 44963. Prime factorization of 44963 in exponential form is:

44963 = 44963¹

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 44963

List of positive integer factors of 44963 that divides 44950 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44950 and 44963. The biggest common factor number is the GCF number.
So the greatest common factor 44950 and 44963 is 1.

Also check out the Least Common Multiple of 44950 and 44963