What is the Greatest Common Factor of 27755 and 27770?

Greatest common factor (GCF) of 27755 and 27770 is 5.

GCF(27755,27770) = 5

We will now calculate the prime factors of 27755 and 27770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27755 and 27770.

How to find the GCF of 27755 and 27770?

We will first find the prime factorization of 27755 and 27770. After we will calculate the factors of 27755 and 27770 and find the biggest common factor number .

Step-1: Prime Factorization of 27755

Prime factors of 27755 are 5, 7, 13, 61. Prime factorization of 27755 in exponential form is:

27755 = 5¹ × 7¹ × 13¹ × 61¹

Step-2: Prime Factorization of 27770

Prime factors of 27770 are 2, 5, 2777. Prime factorization of 27770 in exponential form is:

27770 = 2¹ × 5¹ × 2777¹

Step-3: Factors of 27755

List of positive integer factors of 27755 that divides 27755 without a remainder.

1, 5, 7, 13, 35, 61, 65, 91, 305, 427, 455, 793, 2135, 3965, 5551

Step-4: Factors of 27770

List of positive integer factors of 27770 that divides 27755 without a remainder.

1, 2, 5, 10, 2777, 5554, 13885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27755 and 27770. The biggest common factor number is the GCF number.
So the greatest common factor 27755 and 27770 is 5.

Also check out the Least Common Multiple of 27755 and 27770