What is the Greatest Common Factor of 27748 and 27763?

Greatest common factor (GCF) of 27748 and 27763 is 1.

GCF(27748,27763) = 1

We will now calculate the prime factors of 27748 and 27763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27748 and 27763.

How to find the GCF of 27748 and 27763?

We will first find the prime factorization of 27748 and 27763. After we will calculate the factors of 27748 and 27763 and find the biggest common factor number .

Step-1: Prime Factorization of 27748

Prime factors of 27748 are 2, 7, 991. Prime factorization of 27748 in exponential form is:

27748 = 2² × 7¹ × 991¹

Step-2: Prime Factorization of 27763

Prime factors of 27763 are 27763. Prime factorization of 27763 in exponential form is:

27763 = 27763¹

Step-3: Factors of 27748

List of positive integer factors of 27748 that divides 27748 without a remainder.

1, 2, 4, 7, 14, 28, 991, 1982, 3964, 6937, 13874

Step-4: Factors of 27763

List of positive integer factors of 27763 that divides 27748 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27748 and 27763. The biggest common factor number is the GCF number.
So the greatest common factor 27748 and 27763 is 1.

Also check out the Least Common Multiple of 27748 and 27763