What is the Greatest Common Factor of 27700 and 27719?

Greatest common factor (GCF) of 27700 and 27719 is 1.

GCF(27700,27719) = 1

We will now calculate the prime factors of 27700 and 27719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27700 and 27719.

How to find the GCF of 27700 and 27719?

We will first find the prime factorization of 27700 and 27719. After we will calculate the factors of 27700 and 27719 and find the biggest common factor number .

Step-1: Prime Factorization of 27700

Prime factors of 27700 are 2, 5, 277. Prime factorization of 27700 in exponential form is:

27700 = 2² × 5² × 277¹

Step-2: Prime Factorization of 27719

Prime factors of 27719 are 53, 523. Prime factorization of 27719 in exponential form is:

27719 = 53¹ × 523¹

Step-3: Factors of 27700

List of positive integer factors of 27700 that divides 27700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 277, 554, 1108, 1385, 2770, 5540, 6925, 13850

Step-4: Factors of 27719

List of positive integer factors of 27719 that divides 27700 without a remainder.

1, 53, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27700 and 27719. The biggest common factor number is the GCF number.
So the greatest common factor 27700 and 27719 is 1.

Also check out the Least Common Multiple of 27700 and 27719