What is the Greatest Common Factor of 78871 and 78884?

Greatest common factor (GCF) of 78871 and 78884 is 13.

GCF(78871,78884) = 13

We will now calculate the prime factors of 78871 and 78884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78871 and 78884.

How to find the GCF of 78871 and 78884?

We will first find the prime factorization of 78871 and 78884. After we will calculate the factors of 78871 and 78884 and find the biggest common factor number .

Step-1: Prime Factorization of 78871

Prime factors of 78871 are 13, 6067. Prime factorization of 78871 in exponential form is:

78871 = 13¹ × 6067¹

Step-2: Prime Factorization of 78884

Prime factors of 78884 are 2, 13, 37, 41. Prime factorization of 78884 in exponential form is:

78884 = 2² × 13¹ × 37¹ × 41¹

Step-3: Factors of 78871

List of positive integer factors of 78871 that divides 78871 without a remainder.

1, 13, 6067

Step-4: Factors of 78884

List of positive integer factors of 78884 that divides 78871 without a remainder.

1, 2, 4, 13, 26, 37, 41, 52, 74, 82, 148, 164, 481, 533, 962, 1066, 1517, 1924, 2132, 3034, 6068, 19721, 39442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78871 and 78884. The biggest common factor number is the GCF number.
So the greatest common factor 78871 and 78884 is 13.

Also check out the Least Common Multiple of 78871 and 78884