What is the Greatest Common Factor of 50491 and 50507?

Greatest common factor (GCF) of 50491 and 50507 is 1.

GCF(50491,50507) = 1

We will now calculate the prime factors of 50491 and 50507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50491 and 50507.

How to find the GCF of 50491 and 50507?

We will first find the prime factorization of 50491 and 50507. After we will calculate the factors of 50491 and 50507 and find the biggest common factor number .

Step-1: Prime Factorization of 50491

Prime factors of 50491 are 7, 7213. Prime factorization of 50491 in exponential form is:

50491 = 7¹ × 7213¹

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 50491

List of positive integer factors of 50491 that divides 50491 without a remainder.

1, 7, 7213

Step-4: Factors of 50507

List of positive integer factors of 50507 that divides 50491 without a remainder.

1, 17, 2971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50491 and 50507. The biggest common factor number is the GCF number.
So the greatest common factor 50491 and 50507 is 1.

Also check out the Least Common Multiple of 50491 and 50507