What is the Greatest Common Factor of 27750 and 27757?

Greatest common factor (GCF) of 27750 and 27757 is 1.

GCF(27750,27757) = 1

We will now calculate the prime factors of 27750 and 27757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27750 and 27757.

How to find the GCF of 27750 and 27757?

We will first find the prime factorization of 27750 and 27757. After we will calculate the factors of 27750 and 27757 and find the biggest common factor number .

Step-1: Prime Factorization of 27750

Prime factors of 27750 are 2, 3, 5, 37. Prime factorization of 27750 in exponential form is:

27750 = 2¹ × 3¹ × 5³ × 37¹

Step-2: Prime Factorization of 27757

Prime factors of 27757 are 41, 677. Prime factorization of 27757 in exponential form is:

27757 = 41¹ × 677¹

Step-3: Factors of 27750

List of positive integer factors of 27750 that divides 27750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 125, 150, 185, 222, 250, 370, 375, 555, 750, 925, 1110, 1850, 2775, 4625, 5550, 9250, 13875

Step-4: Factors of 27757

List of positive integer factors of 27757 that divides 27750 without a remainder.

1, 41, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27750 and 27757. The biggest common factor number is the GCF number.
So the greatest common factor 27750 and 27757 is 1.

Also check out the Least Common Multiple of 27750 and 27757