What is the Greatest Common Factor of 77800 and 77816?

Greatest common factor (GCF) of 77800 and 77816 is 8.

GCF(77800,77816) = 8

We will now calculate the prime factors of 77800 and 77816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77800 and 77816.

How to find the GCF of 77800 and 77816?

We will first find the prime factorization of 77800 and 77816. After we will calculate the factors of 77800 and 77816 and find the biggest common factor number .

Step-1: Prime Factorization of 77800

Prime factors of 77800 are 2, 5, 389. Prime factorization of 77800 in exponential form is:

77800 = 2³ × 5² × 389¹

Step-2: Prime Factorization of 77816

Prime factors of 77816 are 2, 71, 137. Prime factorization of 77816 in exponential form is:

77816 = 2³ × 71¹ × 137¹

Step-3: Factors of 77800

List of positive integer factors of 77800 that divides 77800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 389, 778, 1556, 1945, 3112, 3890, 7780, 9725, 15560, 19450, 38900

Step-4: Factors of 77816

List of positive integer factors of 77816 that divides 77800 without a remainder.

1, 2, 4, 8, 71, 137, 142, 274, 284, 548, 568, 1096, 9727, 19454, 38908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77800 and 77816. The biggest common factor number is the GCF number.
So the greatest common factor 77800 and 77816 is 8.

Also check out the Least Common Multiple of 77800 and 77816