What is the Greatest Common Factor of 77802 and 77817?

Greatest common factor (GCF) of 77802 and 77817 is 3.

GCF(77802,77817) = 3

We will now calculate the prime factors of 77802 and 77817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77802 and 77817.

How to find the GCF of 77802 and 77817?

We will first find the prime factorization of 77802 and 77817. After we will calculate the factors of 77802 and 77817 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77817

Prime factors of 77817 are 3, 25939. Prime factorization of 77817 in exponential form is:

77817 = 3¹ × 25939¹

Step-3: Factors of 77802

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

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

Step-4: Factors of 77817

List of positive integer factors of 77817 that divides 77802 without a remainder.

1, 3, 25939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77802 and 77817. The biggest common factor number is the GCF number.
So the greatest common factor 77802 and 77817 is 3.

Also check out the Least Common Multiple of 77802 and 77817