What is the Greatest Common Factor of 44950 and 44962?

Greatest common factor (GCF) of 44950 and 44962 is 2.

GCF(44950,44962) = 2

We will now calculate the prime factors of 44950 and 44962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44950 and 44962.

How to find the GCF of 44950 and 44962?

We will first find the prime factorization of 44950 and 44962. After we will calculate the factors of 44950 and 44962 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 44962

Prime factors of 44962 are 2, 22481. Prime factorization of 44962 in exponential form is:

44962 = 2¹ × 22481¹

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 44962

List of positive integer factors of 44962 that divides 44950 without a remainder.

1, 2, 22481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44950 and 44962. The biggest common factor number is the GCF number.
So the greatest common factor 44950 and 44962 is 2.

Also check out the Least Common Multiple of 44950 and 44962