What is the Greatest Common Factor of 27785 and 27790?

Greatest common factor (GCF) of 27785 and 27790 is 5.

GCF(27785,27790) = 5

We will now calculate the prime factors of 27785 and 27790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27785 and 27790.

How to find the GCF of 27785 and 27790?

We will first find the prime factorization of 27785 and 27790. After we will calculate the factors of 27785 and 27790 and find the biggest common factor number .

Step-1: Prime Factorization of 27785

Prime factors of 27785 are 5, 5557. Prime factorization of 27785 in exponential form is:

27785 = 5¹ × 5557¹

Step-2: Prime Factorization of 27790

Prime factors of 27790 are 2, 5, 7, 397. Prime factorization of 27790 in exponential form is:

27790 = 2¹ × 5¹ × 7¹ × 397¹

Step-3: Factors of 27785

List of positive integer factors of 27785 that divides 27785 without a remainder.

1, 5, 5557

Step-4: Factors of 27790

List of positive integer factors of 27790 that divides 27785 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 397, 794, 1985, 2779, 3970, 5558, 13895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27785 and 27790. The biggest common factor number is the GCF number.
So the greatest common factor 27785 and 27790 is 5.

Also check out the Least Common Multiple of 27785 and 27790