What is the Greatest Common Factor of 77816 and 77826?

Greatest common factor (GCF) of 77816 and 77826 is 2.

GCF(77816,77826) = 2

We will now calculate the prime factors of 77816 and 77826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77816 and 77826.

How to find the GCF of 77816 and 77826?

We will first find the prime factorization of 77816 and 77826. After we will calculate the factors of 77816 and 77826 and find the biggest common factor number .

Step-1: Prime Factorization of 77816

Prime factors of 77816 are 2, 71, 137. Prime factorization of 77816 in exponential form is:

77816 = 2³ × 71¹ × 137¹

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 77816

List of positive integer factors of 77816 that divides 77816 without a remainder.

1, 2, 4, 8, 71, 137, 142, 274, 284, 548, 568, 1096, 9727, 19454, 38908

Step-4: Factors of 77826

List of positive integer factors of 77826 that divides 77816 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 77816 and 77826. The biggest common factor number is the GCF number.
So the greatest common factor 77816 and 77826 is 2.

Also check out the Least Common Multiple of 77816 and 77826