What is the Greatest Common Factor of 50499 and 50507?

Greatest common factor (GCF) of 50499 and 50507 is 1.

GCF(50499,50507) = 1

We will now calculate the prime factors of 50499 and 50507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50499 and 50507.

How to find the GCF of 50499 and 50507?

We will first find the prime factorization of 50499 and 50507. After we will calculate the factors of 50499 and 50507 and find the biggest common factor number .

Step-1: Prime Factorization of 50499

Prime factors of 50499 are 3, 31, 181. Prime factorization of 50499 in exponential form is:

50499 = 3² × 31¹ × 181¹

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 50499

List of positive integer factors of 50499 that divides 50499 without a remainder.

1, 3, 9, 31, 93, 181, 279, 543, 1629, 5611, 16833

Step-4: Factors of 50507

List of positive integer factors of 50507 that divides 50499 without a remainder.

1, 17, 2971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50499 and 50507. The biggest common factor number is the GCF number.
So the greatest common factor 50499 and 50507 is 1.

Also check out the Least Common Multiple of 50499 and 50507