What is the Greatest Common Factor of 77782 and 77800?

Greatest common factor (GCF) of 77782 and 77800 is 2.

GCF(77782,77800) = 2

We will now calculate the prime factors of 77782 and 77800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77782 and 77800.

How to find the GCF of 77782 and 77800?

We will first find the prime factorization of 77782 and 77800. After we will calculate the factors of 77782 and 77800 and find the biggest common factor number .

Step-1: Prime Factorization of 77782

Prime factors of 77782 are 2, 38891. Prime factorization of 77782 in exponential form is:

77782 = 2¹ × 38891¹

Step-2: 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-3: Factors of 77782

List of positive integer factors of 77782 that divides 77782 without a remainder.

1, 2, 38891

Step-4: Factors of 77800

List of positive integer factors of 77800 that divides 77782 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77782 and 77800. The biggest common factor number is the GCF number.
So the greatest common factor 77782 and 77800 is 2.

Also check out the Least Common Multiple of 77782 and 77800