What is the Greatest Common Factor of 79818 and 79827?

Greatest common factor (GCF) of 79818 and 79827 is 3.

GCF(79818,79827) = 3

We will now calculate the prime factors of 79818 and 79827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79818 and 79827.

How to find the GCF of 79818 and 79827?

We will first find the prime factorization of 79818 and 79827. After we will calculate the factors of 79818 and 79827 and find the biggest common factor number .

Step-1: Prime Factorization of 79818

Prime factors of 79818 are 2, 3, 53, 251. Prime factorization of 79818 in exponential form is:

79818 = 2¹ × 3¹ × 53¹ × 251¹

Step-2: 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-3: Factors of 79818

List of positive integer factors of 79818 that divides 79818 without a remainder.

1, 2, 3, 6, 53, 106, 159, 251, 318, 502, 753, 1506, 13303, 26606, 39909

Step-4: Factors of 79827

List of positive integer factors of 79827 that divides 79818 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79818 and 79827. The biggest common factor number is the GCF number.
So the greatest common factor 79818 and 79827 is 3.

Also check out the Least Common Multiple of 79818 and 79827