What is the Greatest Common Factor of 77814 and 77832?

Greatest common factor (GCF) of 77814 and 77832 is 18.

GCF(77814,77832) = 18

We will now calculate the prime factors of 77814 and 77832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77814 and 77832.

How to find the GCF of 77814 and 77832?

We will first find the prime factorization of 77814 and 77832. After we will calculate the factors of 77814 and 77832 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 77832

Prime factors of 77832 are 2, 3, 23, 47. Prime factorization of 77832 in exponential form is:

77832 = 2³ × 3² × 23¹ × 47¹

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 77832

List of positive integer factors of 77832 that divides 77814 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 47, 69, 72, 92, 94, 138, 141, 184, 188, 207, 276, 282, 376, 414, 423, 552, 564, 828, 846, 1081, 1128, 1656, 1692, 2162, 3243, 3384, 4324, 6486, 8648, 9729, 12972, 19458, 25944, 38916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77814 and 77832. The biggest common factor number is the GCF number.
So the greatest common factor 77814 and 77832 is 18.

Also check out the Least Common Multiple of 77814 and 77832