What is the Greatest Common Factor of 55077 and 55088?

Greatest common factor (GCF) of 55077 and 55088 is 11.

GCF(55077,55088) = 11

We will now calculate the prime factors of 55077 and 55088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55077 and 55088.

How to find the GCF of 55077 and 55088?

We will first find the prime factorization of 55077 and 55088. After we will calculate the factors of 55077 and 55088 and find the biggest common factor number .

Step-1: Prime Factorization of 55077

Prime factors of 55077 are 3, 11, 1669. Prime factorization of 55077 in exponential form is:

55077 = 3¹ × 11¹ × 1669¹

Step-2: Prime Factorization of 55088

Prime factors of 55088 are 2, 11, 313. Prime factorization of 55088 in exponential form is:

55088 = 2⁴ × 11¹ × 313¹

Step-3: Factors of 55077

List of positive integer factors of 55077 that divides 55077 without a remainder.

1, 3, 11, 33, 1669, 5007, 18359

Step-4: Factors of 55088

List of positive integer factors of 55088 that divides 55077 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 313, 626, 1252, 2504, 3443, 5008, 6886, 13772, 27544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55077 and 55088. The biggest common factor number is the GCF number.
So the greatest common factor 55077 and 55088 is 11.

Also check out the Least Common Multiple of 55077 and 55088