What is the Greatest Common Factor of 50617 and 50629?

Greatest common factor (GCF) of 50617 and 50629 is 1.

GCF(50617,50629) = 1

We will now calculate the prime factors of 50617 and 50629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50617 and 50629.

How to find the GCF of 50617 and 50629?

We will first find the prime factorization of 50617 and 50629. After we will calculate the factors of 50617 and 50629 and find the biggest common factor number .

Step-1: Prime Factorization of 50617

Prime factors of 50617 are 7, 1033. Prime factorization of 50617 in exponential form is:

50617 = 7² × 1033¹

Step-2: Prime Factorization of 50629

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

50629 = 197¹ × 257¹

Step-3: Factors of 50617

List of positive integer factors of 50617 that divides 50617 without a remainder.

1, 7, 49, 1033, 7231

Step-4: Factors of 50629

List of positive integer factors of 50629 that divides 50617 without a remainder.

1, 197, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50617 and 50629. The biggest common factor number is the GCF number.
So the greatest common factor 50617 and 50629 is 1.

Also check out the Least Common Multiple of 50617 and 50629