What is the Greatest Common Factor of 77814 and 77822?

Greatest common factor (GCF) of 77814 and 77822 is 2.

GCF(77814,77822) = 2

We will now calculate the prime factors of 77814 and 77822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77814 and 77822.

How to find the GCF of 77814 and 77822?

We will first find the prime factorization of 77814 and 77822. After we will calculate the factors of 77814 and 77822 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 77822

Prime factors of 77822 are 2, 167, 233. Prime factorization of 77822 in exponential form is:

77822 = 2¹ × 167¹ × 233¹

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 77822

List of positive integer factors of 77822 that divides 77814 without a remainder.

1, 2, 167, 233, 334, 466, 38911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77814 and 77822. The biggest common factor number is the GCF number.
So the greatest common factor 77814 and 77822 is 2.

Also check out the Least Common Multiple of 77814 and 77822