What is the Greatest Common Factor of 77824 and 77835?

Greatest common factor (GCF) of 77824 and 77835 is 1.

GCF(77824,77835) = 1

We will now calculate the prime factors of 77824 and 77835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77824 and 77835.

How to find the GCF of 77824 and 77835?

We will first find the prime factorization of 77824 and 77835. After we will calculate the factors of 77824 and 77835 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 77835

Prime factors of 77835 are 3, 5, 5189. Prime factorization of 77835 in exponential form is:

77835 = 3¹ × 5¹ × 5189¹

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 77835

List of positive integer factors of 77835 that divides 77824 without a remainder.

1, 3, 5, 15, 5189, 15567, 25945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77824 and 77835. The biggest common factor number is the GCF number.
So the greatest common factor 77824 and 77835 is 1.

Also check out the Least Common Multiple of 77824 and 77835