What is the Greatest Common Factor of 77884 and 77888?

Greatest common factor (GCF) of 77884 and 77888 is 4.

GCF(77884,77888) = 4

We will now calculate the prime factors of 77884 and 77888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77884 and 77888.

How to find the GCF of 77884 and 77888?

We will first find the prime factorization of 77884 and 77888. After we will calculate the factors of 77884 and 77888 and find the biggest common factor number .

Step-1: Prime Factorization of 77884

Prime factors of 77884 are 2, 19471. Prime factorization of 77884 in exponential form is:

77884 = 2² × 19471¹

Step-2: Prime Factorization of 77888

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

77888 = 2⁶ × 1217¹

Step-3: Factors of 77884

List of positive integer factors of 77884 that divides 77884 without a remainder.

1, 2, 4, 19471, 38942

Step-4: Factors of 77888

List of positive integer factors of 77888 that divides 77884 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77884 and 77888. The biggest common factor number is the GCF number.
So the greatest common factor 77884 and 77888 is 4.

Also check out the Least Common Multiple of 77884 and 77888