What is the Greatest Common Factor of 50509 and 50528?

Greatest common factor (GCF) of 50509 and 50528 is 1.

GCF(50509,50528) = 1

We will now calculate the prime factors of 50509 and 50528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50509 and 50528.

How to find the GCF of 50509 and 50528?

We will first find the prime factorization of 50509 and 50528. After we will calculate the factors of 50509 and 50528 and find the biggest common factor number .

Step-1: Prime Factorization of 50509

Prime factors of 50509 are 53, 953. Prime factorization of 50509 in exponential form is:

50509 = 53¹ × 953¹

Step-2: Prime Factorization of 50528

Prime factors of 50528 are 2, 1579. Prime factorization of 50528 in exponential form is:

50528 = 2⁵ × 1579¹

Step-3: Factors of 50509

List of positive integer factors of 50509 that divides 50509 without a remainder.

1, 53, 953

Step-4: Factors of 50528

List of positive integer factors of 50528 that divides 50509 without a remainder.

1, 2, 4, 8, 16, 32, 1579, 3158, 6316, 12632, 25264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50509 and 50528. The biggest common factor number is the GCF number.
So the greatest common factor 50509 and 50528 is 1.

Also check out the Least Common Multiple of 50509 and 50528