What is the Greatest Common Factor of 50629 and 50634?

Greatest common factor (GCF) of 50629 and 50634 is 1.

GCF(50629,50634) = 1

We will now calculate the prime factors of 50629 and 50634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50629 and 50634.

How to find the GCF of 50629 and 50634?

We will first find the prime factorization of 50629 and 50634. After we will calculate the factors of 50629 and 50634 and find the biggest common factor number .

Step-1: Prime Factorization of 50629

Prime factors of 50629 are 197, 257. Prime factorization of 50629 in exponential form is:

50629 = 197¹ × 257¹

Step-2: Prime Factorization of 50634

Prime factors of 50634 are 2, 3, 29, 97. Prime factorization of 50634 in exponential form is:

50634 = 2¹ × 3² × 29¹ × 97¹

Step-3: Factors of 50629

List of positive integer factors of 50629 that divides 50629 without a remainder.

1, 197, 257

Step-4: Factors of 50634

List of positive integer factors of 50634 that divides 50629 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 97, 174, 194, 261, 291, 522, 582, 873, 1746, 2813, 5626, 8439, 16878, 25317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50629 and 50634. The biggest common factor number is the GCF number.
So the greatest common factor 50629 and 50634 is 1.

Also check out the Least Common Multiple of 50629 and 50634