What is the Greatest Common Factor of 50489 and 50507?

Greatest common factor (GCF) of 50489 and 50507 is 1.

GCF(50489,50507) = 1

We will now calculate the prime factors of 50489 and 50507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50489 and 50507.

How to find the GCF of 50489 and 50507?

We will first find the prime factorization of 50489 and 50507. After we will calculate the factors of 50489 and 50507 and find the biggest common factor number .

Step-1: Prime Factorization of 50489

Prime factors of 50489 are 29, 1741. Prime factorization of 50489 in exponential form is:

50489 = 29¹ × 1741¹

Step-2: Prime Factorization of 50507

Prime factors of 50507 are 17, 2971. Prime factorization of 50507 in exponential form is:

50507 = 17¹ × 2971¹

Step-3: Factors of 50489

List of positive integer factors of 50489 that divides 50489 without a remainder.

1, 29, 1741

Step-4: Factors of 50507

List of positive integer factors of 50507 that divides 50489 without a remainder.

1, 17, 2971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50489 and 50507. The biggest common factor number is the GCF number.
So the greatest common factor 50489 and 50507 is 1.

Also check out the Least Common Multiple of 50489 and 50507