What is the Greatest Common Factor of 77809 and 77826?

Greatest common factor (GCF) of 77809 and 77826 is 17.

GCF(77809,77826) = 17

We will now calculate the prime factors of 77809 and 77826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77809 and 77826.

How to find the GCF of 77809 and 77826?

We will first find the prime factorization of 77809 and 77826. After we will calculate the factors of 77809 and 77826 and find the biggest common factor number .

Step-1: Prime Factorization of 77809

Prime factors of 77809 are 17, 23, 199. Prime factorization of 77809 in exponential form is:

77809 = 17¹ × 23¹ × 199¹

Step-2: Prime Factorization of 77826

Prime factors of 77826 are 2, 3, 7, 17, 109. Prime factorization of 77826 in exponential form is:

77826 = 2¹ × 3¹ × 7¹ × 17¹ × 109¹

Step-3: Factors of 77809

List of positive integer factors of 77809 that divides 77809 without a remainder.

1, 17, 23, 199, 391, 3383, 4577

Step-4: Factors of 77826

List of positive integer factors of 77826 that divides 77809 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 109, 119, 218, 238, 327, 357, 654, 714, 763, 1526, 1853, 2289, 3706, 4578, 5559, 11118, 12971, 25942, 38913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77809 and 77826. The biggest common factor number is the GCF number.
So the greatest common factor 77809 and 77826 is 17.

Also check out the Least Common Multiple of 77809 and 77826