What is the Greatest Common Factor of 50575 and 50584?

Greatest common factor (GCF) of 50575 and 50584 is 1.

GCF(50575,50584) = 1

We will now calculate the prime factors of 50575 and 50584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50575 and 50584.

How to find the GCF of 50575 and 50584?

We will first find the prime factorization of 50575 and 50584. After we will calculate the factors of 50575 and 50584 and find the biggest common factor number .

Step-1: Prime Factorization of 50575

Prime factors of 50575 are 5, 7, 17. Prime factorization of 50575 in exponential form is:

50575 = 5² × 7¹ × 17²

Step-2: Prime Factorization of 50584

Prime factors of 50584 are 2, 6323. Prime factorization of 50584 in exponential form is:

50584 = 2³ × 6323¹

Step-3: Factors of 50575

List of positive integer factors of 50575 that divides 50575 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 175, 289, 425, 595, 1445, 2023, 2975, 7225, 10115

Step-4: Factors of 50584

List of positive integer factors of 50584 that divides 50575 without a remainder.

1, 2, 4, 8, 6323, 12646, 25292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50575 and 50584. The biggest common factor number is the GCF number.
So the greatest common factor 50575 and 50584 is 1.

Also check out the Least Common Multiple of 50575 and 50584