What is the Greatest Common Factor of 79827 and 79838?

Greatest common factor (GCF) of 79827 and 79838 is 11.

GCF(79827,79838) = 11

We will now calculate the prime factors of 79827 and 79838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79827 and 79838.

How to find the GCF of 79827 and 79838?

We will first find the prime factorization of 79827 and 79838. After we will calculate the factors of 79827 and 79838 and find the biggest common factor number .

Step-1: Prime Factorization of 79827

Prime factors of 79827 are 3, 11, 41, 59. Prime factorization of 79827 in exponential form is:

79827 = 3¹ × 11¹ × 41¹ × 59¹

Step-2: Prime Factorization of 79838

Prime factors of 79838 are 2, 11, 19, 191. Prime factorization of 79838 in exponential form is:

79838 = 2¹ × 11¹ × 19¹ × 191¹

Step-3: Factors of 79827

List of positive integer factors of 79827 that divides 79827 without a remainder.

1, 3, 11, 33, 41, 59, 123, 177, 451, 649, 1353, 1947, 2419, 7257, 26609

Step-4: Factors of 79838

List of positive integer factors of 79838 that divides 79827 without a remainder.

1, 2, 11, 19, 22, 38, 191, 209, 382, 418, 2101, 3629, 4202, 7258, 39919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79827 and 79838. The biggest common factor number is the GCF number.
So the greatest common factor 79827 and 79838 is 11.

Also check out the Least Common Multiple of 79827 and 79838