What is the Greatest Common Factor of 77814 and 77826?

Greatest common factor (GCF) of 77814 and 77826 is 6.

GCF(77814,77826) = 6

We will now calculate the prime factors of 77814 and 77826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77814 and 77826.

How to find the GCF of 77814 and 77826?

We will first find the prime factorization of 77814 and 77826. After we will calculate the factors of 77814 and 77826 and find the biggest common factor number .

Step-1: Prime Factorization of 77814

Prime factors of 77814 are 2, 3, 11, 131. Prime factorization of 77814 in exponential form is:

77814 = 2¹ × 3³ × 11¹ × 131¹

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 77814

List of positive integer factors of 77814 that divides 77814 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 131, 198, 262, 297, 393, 594, 786, 1179, 1441, 2358, 2882, 3537, 4323, 7074, 8646, 12969, 25938, 38907

Step-4: Factors of 77826

List of positive integer factors of 77826 that divides 77814 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 77814 and 77826. The biggest common factor number is the GCF number.
So the greatest common factor 77814 and 77826 is 6.

Also check out the Least Common Multiple of 77814 and 77826