What is the Greatest Common Factor of 27755 and 27769?

Greatest common factor (GCF) of 27755 and 27769 is 7.

GCF(27755,27769) = 7

We will now calculate the prime factors of 27755 and 27769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27755 and 27769.

How to find the GCF of 27755 and 27769?

We will first find the prime factorization of 27755 and 27769. After we will calculate the factors of 27755 and 27769 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 27769

Prime factors of 27769 are 7, 3967. Prime factorization of 27769 in exponential form is:

27769 = 7¹ × 3967¹

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 27769

List of positive integer factors of 27769 that divides 27755 without a remainder.

1, 7, 3967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27755 and 27769. The biggest common factor number is the GCF number.
So the greatest common factor 27755 and 27769 is 7.

Also check out the Least Common Multiple of 27755 and 27769