What is the Greatest Common Factor of 50629 and 50635?

Greatest common factor (GCF) of 50629 and 50635 is 1.

GCF(50629,50635) = 1

We will now calculate the prime factors of 50629 and 50635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50629 and 50635.

How to find the GCF of 50629 and 50635?

We will first find the prime factorization of 50629 and 50635. After we will calculate the factors of 50629 and 50635 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 50635

Prime factors of 50635 are 5, 13, 19, 41. Prime factorization of 50635 in exponential form is:

50635 = 5¹ × 13¹ × 19¹ × 41¹

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 50635

List of positive integer factors of 50635 that divides 50629 without a remainder.

1, 5, 13, 19, 41, 65, 95, 205, 247, 533, 779, 1235, 2665, 3895, 10127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50629 and 50635. The biggest common factor number is the GCF number.
So the greatest common factor 50629 and 50635 is 1.

Also check out the Least Common Multiple of 50629 and 50635