What is the Greatest Common Factor of 77826 and 77842?

Greatest common factor (GCF) of 77826 and 77842 is 2.

GCF(77826,77842) = 2

We will now calculate the prime factors of 77826 and 77842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77826 and 77842.

How to find the GCF of 77826 and 77842?

We will first find the prime factorization of 77826 and 77842. After we will calculate the factors of 77826 and 77842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77842

Prime factors of 77842 are 2, 38921. Prime factorization of 77842 in exponential form is:

77842 = 2¹ × 38921¹

Step-3: Factors of 77826

List of positive integer factors of 77826 that divides 77826 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

Step-4: Factors of 77842

List of positive integer factors of 77842 that divides 77826 without a remainder.

1, 2, 38921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77826 and 77842. The biggest common factor number is the GCF number.
So the greatest common factor 77826 and 77842 is 2.

Also check out the Least Common Multiple of 77826 and 77842