What is the Greatest Common Factor of 50562 and 50575?

Greatest common factor (GCF) of 50562 and 50575 is 1.

GCF(50562,50575) = 1

We will now calculate the prime factors of 50562 and 50575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50562 and 50575.

How to find the GCF of 50562 and 50575?

We will first find the prime factorization of 50562 and 50575. After we will calculate the factors of 50562 and 50575 and find the biggest common factor number .

Step-1: Prime Factorization of 50562

Prime factors of 50562 are 2, 3, 53. Prime factorization of 50562 in exponential form is:

50562 = 2¹ × 3² × 53²

Step-2: 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-3: Factors of 50562

List of positive integer factors of 50562 that divides 50562 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954, 2809, 5618, 8427, 16854, 25281

Step-4: Factors of 50575

List of positive integer factors of 50575 that divides 50562 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50562 and 50575. The biggest common factor number is the GCF number.
So the greatest common factor 50562 and 50575 is 1.

Also check out the Least Common Multiple of 50562 and 50575