What is the Greatest Common Factor of 50050 and 50056?

Greatest common factor (GCF) of 50050 and 50056 is 2.

GCF(50050,50056) = 2

We will now calculate the prime factors of 50050 and 50056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50050 and 50056.

How to find the GCF of 50050 and 50056?

We will first find the prime factorization of 50050 and 50056. After we will calculate the factors of 50050 and 50056 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50056

Prime factors of 50056 are 2, 6257. Prime factorization of 50056 in exponential form is:

50056 = 2³ × 6257¹

Step-3: Factors of 50050

List of positive integer factors of 50050 that divides 50050 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

Step-4: Factors of 50056

List of positive integer factors of 50056 that divides 50050 without a remainder.

1, 2, 4, 8, 6257, 12514, 25028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50050 and 50056. The biggest common factor number is the GCF number.
So the greatest common factor 50050 and 50056 is 2.

Also check out the Least Common Multiple of 50050 and 50056