What is the Greatest Common Factor of 77814 and 77820?

Greatest common factor (GCF) of 77814 and 77820 is 6.

GCF(77814,77820) = 6

We will now calculate the prime factors of 77814 and 77820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77814 and 77820.

How to find the GCF of 77814 and 77820?

We will first find the prime factorization of 77814 and 77820. After we will calculate the factors of 77814 and 77820 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 77820

Prime factors of 77820 are 2, 3, 5, 1297. Prime factorization of 77820 in exponential form is:

77820 = 2² × 3¹ × 5¹ × 1297¹

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 77820

List of positive integer factors of 77820 that divides 77814 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1297, 2594, 3891, 5188, 6485, 7782, 12970, 15564, 19455, 25940, 38910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77814 and 77820. The biggest common factor number is the GCF number.
So the greatest common factor 77814 and 77820 is 6.

Also check out the Least Common Multiple of 77814 and 77820