What is the Greatest Common Factor of 77888 and 77896?

Greatest common factor (GCF) of 77888 and 77896 is 8.

GCF(77888,77896) = 8

We will now calculate the prime factors of 77888 and 77896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77888 and 77896.

How to find the GCF of 77888 and 77896?

We will first find the prime factorization of 77888 and 77896. After we will calculate the factors of 77888 and 77896 and find the biggest common factor number .

Step-1: Prime Factorization of 77888

Prime factors of 77888 are 2, 1217. Prime factorization of 77888 in exponential form is:

77888 = 2⁶ × 1217¹

Step-2: Prime Factorization of 77896

Prime factors of 77896 are 2, 7, 13, 107. Prime factorization of 77896 in exponential form is:

77896 = 2³ × 7¹ × 13¹ × 107¹

Step-3: Factors of 77888

List of positive integer factors of 77888 that divides 77888 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1217, 2434, 4868, 9736, 19472, 38944

Step-4: Factors of 77896

List of positive integer factors of 77896 that divides 77888 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 107, 182, 214, 364, 428, 728, 749, 856, 1391, 1498, 2782, 2996, 5564, 5992, 9737, 11128, 19474, 38948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77888 and 77896. The biggest common factor number is the GCF number.
So the greatest common factor 77888 and 77896 is 8.

Also check out the Least Common Multiple of 77888 and 77896