What is the Greatest Common Factor of 50029 and 50043?

Greatest common factor (GCF) of 50029 and 50043 is 7.

GCF(50029,50043) = 7

We will now calculate the prime factors of 50029 and 50043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50029 and 50043.

How to find the GCF of 50029 and 50043?

We will first find the prime factorization of 50029 and 50043. After we will calculate the factors of 50029 and 50043 and find the biggest common factor number .

Step-1: Prime Factorization of 50029

Prime factors of 50029 are 7, 1021. Prime factorization of 50029 in exponential form is:

50029 = 7² × 1021¹

Step-2: Prime Factorization of 50043

Prime factors of 50043 are 3, 7, 2383. Prime factorization of 50043 in exponential form is:

50043 = 3¹ × 7¹ × 2383¹

Step-3: Factors of 50029

List of positive integer factors of 50029 that divides 50029 without a remainder.

1, 7, 49, 1021, 7147

Step-4: Factors of 50043

List of positive integer factors of 50043 that divides 50029 without a remainder.

1, 3, 7, 21, 2383, 7149, 16681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50029 and 50043. The biggest common factor number is the GCF number.
So the greatest common factor 50029 and 50043 is 7.

Also check out the Least Common Multiple of 50029 and 50043