What is the Greatest Common Factor of 77814 and 77825?

Greatest common factor (GCF) of 77814 and 77825 is 11.

GCF(77814,77825) = 11

We will now calculate the prime factors of 77814 and 77825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77814 and 77825.

How to find the GCF of 77814 and 77825?

We will first find the prime factorization of 77814 and 77825. After we will calculate the factors of 77814 and 77825 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 77825

Prime factors of 77825 are 5, 11, 283. Prime factorization of 77825 in exponential form is:

77825 = 5² × 11¹ × 283¹

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 77825

List of positive integer factors of 77825 that divides 77814 without a remainder.

1, 5, 11, 25, 55, 275, 283, 1415, 3113, 7075, 15565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77814 and 77825. The biggest common factor number is the GCF number.
So the greatest common factor 77814 and 77825 is 11.

Also check out the Least Common Multiple of 77814 and 77825