What is the Greatest Common Factor of 77788 and 77802?

Greatest common factor (GCF) of 77788 and 77802 is 2.

GCF(77788,77802) = 2

We will now calculate the prime factors of 77788 and 77802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77788 and 77802.

How to find the GCF of 77788 and 77802?

We will first find the prime factorization of 77788 and 77802. After we will calculate the factors of 77788 and 77802 and find the biggest common factor number .

Step-1: Prime Factorization of 77788

Prime factors of 77788 are 2, 19447. Prime factorization of 77788 in exponential form is:

77788 = 2² × 19447¹

Step-2: Prime Factorization of 77802

Prime factors of 77802 are 2, 3, 12967. Prime factorization of 77802 in exponential form is:

77802 = 2¹ × 3¹ × 12967¹

Step-3: Factors of 77788

List of positive integer factors of 77788 that divides 77788 without a remainder.

1, 2, 4, 19447, 38894

Step-4: Factors of 77802

List of positive integer factors of 77802 that divides 77788 without a remainder.

1, 2, 3, 6, 12967, 25934, 38901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77788 and 77802. The biggest common factor number is the GCF number.
So the greatest common factor 77788 and 77802 is 2.

Also check out the Least Common Multiple of 77788 and 77802