What is the Greatest Common Factor of 77824 and 77840?

Greatest common factor (GCF) of 77824 and 77840 is 16.

GCF(77824,77840) = 16

We will now calculate the prime factors of 77824 and 77840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77824 and 77840.

How to find the GCF of 77824 and 77840?

We will first find the prime factorization of 77824 and 77840. After we will calculate the factors of 77824 and 77840 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 77840

Prime factors of 77840 are 2, 5, 7, 139. Prime factorization of 77840 in exponential form is:

77840 = 2⁴ × 5¹ × 7¹ × 139¹

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 77840

List of positive integer factors of 77840 that divides 77824 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 139, 140, 278, 280, 556, 560, 695, 973, 1112, 1390, 1946, 2224, 2780, 3892, 4865, 5560, 7784, 9730, 11120, 15568, 19460, 38920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77824 and 77840. The biggest common factor number is the GCF number.
So the greatest common factor 77824 and 77840 is 16.

Also check out the Least Common Multiple of 77824 and 77840