What is the Greatest Common Factor of 77440 and 77449?

Greatest common factor (GCF) of 77440 and 77449 is 1.

GCF(77440,77449) = 1

We will now calculate the prime factors of 77440 and 77449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77440 and 77449.

How to find the GCF of 77440 and 77449?

We will first find the prime factorization of 77440 and 77449. After we will calculate the factors of 77440 and 77449 and find the biggest common factor number .

Step-1: Prime Factorization of 77440

Prime factors of 77440 are 2, 5, 11. Prime factorization of 77440 in exponential form is:

77440 = 2⁷ × 5¹ × 11²

Step-2: Prime Factorization of 77449

Prime factors of 77449 are 41, 1889. Prime factorization of 77449 in exponential form is:

77449 = 41¹ × 1889¹

Step-3: Factors of 77440

List of positive integer factors of 77440 that divides 77440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 121, 128, 160, 176, 220, 242, 320, 352, 440, 484, 605, 640, 704, 880, 968, 1210, 1408, 1760, 1936, 2420, 3520, 3872, 4840, 7040, 7744, 9680, 15488, 19360, 38720

Step-4: Factors of 77449

List of positive integer factors of 77449 that divides 77440 without a remainder.

1, 41, 1889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77440 and 77449. The biggest common factor number is the GCF number.
So the greatest common factor 77440 and 77449 is 1.

Also check out the Least Common Multiple of 77440 and 77449