What is the Greatest Common Factor of 77825 and 77836?

Greatest common factor (GCF) of 77825 and 77836 is 11.

GCF(77825,77836) = 11

We will now calculate the prime factors of 77825 and 77836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77825 and 77836.

How to find the GCF of 77825 and 77836?

We will first find the prime factorization of 77825 and 77836. After we will calculate the factors of 77825 and 77836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77836

Prime factors of 77836 are 2, 11, 29, 61. Prime factorization of 77836 in exponential form is:

77836 = 2² × 11¹ × 29¹ × 61¹

Step-3: Factors of 77825

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

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

Step-4: Factors of 77836

List of positive integer factors of 77836 that divides 77825 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 61, 116, 122, 244, 319, 638, 671, 1276, 1342, 1769, 2684, 3538, 7076, 19459, 38918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77825 and 77836. The biggest common factor number is the GCF number.
So the greatest common factor 77825 and 77836 is 11.

Also check out the Least Common Multiple of 77825 and 77836