What is the Greatest Common Factor of 78859 and 78870?

Greatest common factor (GCF) of 78859 and 78870 is 11.

GCF(78859,78870) = 11

We will now calculate the prime factors of 78859 and 78870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78859 and 78870.

How to find the GCF of 78859 and 78870?

We will first find the prime factorization of 78859 and 78870. After we will calculate the factors of 78859 and 78870 and find the biggest common factor number .

Step-1: Prime Factorization of 78859

Prime factors of 78859 are 11, 67, 107. Prime factorization of 78859 in exponential form is:

78859 = 11¹ × 67¹ × 107¹

Step-2: Prime Factorization of 78870

Prime factors of 78870 are 2, 3, 5, 11, 239. Prime factorization of 78870 in exponential form is:

78870 = 2¹ × 3¹ × 5¹ × 11¹ × 239¹

Step-3: Factors of 78859

List of positive integer factors of 78859 that divides 78859 without a remainder.

1, 11, 67, 107, 737, 1177, 7169

Step-4: Factors of 78870

List of positive integer factors of 78870 that divides 78859 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 239, 330, 478, 717, 1195, 1434, 2390, 2629, 3585, 5258, 7170, 7887, 13145, 15774, 26290, 39435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78859 and 78870. The biggest common factor number is the GCF number.
So the greatest common factor 78859 and 78870 is 11.

Also check out the Least Common Multiple of 78859 and 78870