What is the Greatest Common Factor of 77027 and 77044?

Greatest common factor (GCF) of 77027 and 77044 is 17.

GCF(77027,77044) = 17

We will now calculate the prime factors of 77027 and 77044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77027 and 77044.

How to find the GCF of 77027 and 77044?

We will first find the prime factorization of 77027 and 77044. After we will calculate the factors of 77027 and 77044 and find the biggest common factor number .

Step-1: Prime Factorization of 77027

Prime factors of 77027 are 17, 23, 197. Prime factorization of 77027 in exponential form is:

77027 = 17¹ × 23¹ × 197¹

Step-2: Prime Factorization of 77044

Prime factors of 77044 are 2, 11, 17, 103. Prime factorization of 77044 in exponential form is:

77044 = 2² × 11¹ × 17¹ × 103¹

Step-3: Factors of 77027

List of positive integer factors of 77027 that divides 77027 without a remainder.

1, 17, 23, 197, 391, 3349, 4531

Step-4: Factors of 77044

List of positive integer factors of 77044 that divides 77027 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 103, 187, 206, 374, 412, 748, 1133, 1751, 2266, 3502, 4532, 7004, 19261, 38522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77027 and 77044. The biggest common factor number is the GCF number.
So the greatest common factor 77027 and 77044 is 17.

Also check out the Least Common Multiple of 77027 and 77044