What is the Greatest Common Factor of 77824 and 77829?

Greatest common factor (GCF) of 77824 and 77829 is 1.

GCF(77824,77829) = 1

We will now calculate the prime factors of 77824 and 77829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77824 and 77829.

How to find the GCF of 77824 and 77829?

We will first find the prime factorization of 77824 and 77829. After we will calculate the factors of 77824 and 77829 and find the biggest common factor number .

Step-1: Prime Factorization of 77824

Prime factors of 77824 are 2, 19. Prime factorization of 77824 in exponential form is:

77824 = 2¹² × 19¹

Step-2: Prime Factorization of 77829

Prime factors of 77829 are 3, 25943. Prime factorization of 77829 in exponential form is:

77829 = 3¹ × 25943¹

Step-3: Factors of 77824

List of positive integer factors of 77824 that divides 77824 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1024, 1216, 2048, 2432, 4096, 4864, 9728, 19456, 38912

Step-4: Factors of 77829

List of positive integer factors of 77829 that divides 77824 without a remainder.

1, 3, 25943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77824 and 77829. The biggest common factor number is the GCF number.
So the greatest common factor 77824 and 77829 is 1.

Also check out the Least Common Multiple of 77824 and 77829