What is the Greatest Common Factor of 50029 and 50049?

Greatest common factor (GCF) of 50029 and 50049 is 1.

GCF(50029,50049) = 1

We will now calculate the prime factors of 50029 and 50049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50029 and 50049.

How to find the GCF of 50029 and 50049?

We will first find the prime factorization of 50029 and 50049. After we will calculate the factors of 50029 and 50049 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 50049

Prime factors of 50049 are 3, 67, 83. Prime factorization of 50049 in exponential form is:

50049 = 3² × 67¹ × 83¹

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 50049

List of positive integer factors of 50049 that divides 50029 without a remainder.

1, 3, 9, 67, 83, 201, 249, 603, 747, 5561, 16683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50029 and 50049. The biggest common factor number is the GCF number.
So the greatest common factor 50029 and 50049 is 1.

Also check out the Least Common Multiple of 50029 and 50049