What is the Greatest Common Factor of 50044 and 50050?

Greatest common factor (GCF) of 50044 and 50050 is 2.

GCF(50044,50050) = 2

We will now calculate the prime factors of 50044 and 50050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50044 and 50050.

How to find the GCF of 50044 and 50050?

We will first find the prime factorization of 50044 and 50050. After we will calculate the factors of 50044 and 50050 and find the biggest common factor number .

Step-1: Prime Factorization of 50044

Prime factors of 50044 are 2, 12511. Prime factorization of 50044 in exponential form is:

50044 = 2² × 12511¹

Step-2: Prime Factorization of 50050

Prime factors of 50050 are 2, 5, 7, 11, 13. Prime factorization of 50050 in exponential form is:

50050 = 2¹ × 5² × 7¹ × 11¹ × 13¹

Step-3: Factors of 50044

List of positive integer factors of 50044 that divides 50044 without a remainder.

1, 2, 4, 12511, 25022

Step-4: Factors of 50050

List of positive integer factors of 50050 that divides 50044 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 25, 26, 35, 50, 55, 65, 70, 77, 91, 110, 130, 143, 154, 175, 182, 275, 286, 325, 350, 385, 455, 550, 650, 715, 770, 910, 1001, 1430, 1925, 2002, 2275, 3575, 3850, 4550, 5005, 7150, 10010, 25025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50044 and 50050. The biggest common factor number is the GCF number.
So the greatest common factor 50044 and 50050 is 2.

Also check out the Least Common Multiple of 50044 and 50050