What is the Greatest Common Factor of 78840 and 78858?

Greatest common factor (GCF) of 78840 and 78858 is 18.

GCF(78840,78858) = 18

We will now calculate the prime factors of 78840 and 78858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78840 and 78858.

How to find the GCF of 78840 and 78858?

We will first find the prime factorization of 78840 and 78858. After we will calculate the factors of 78840 and 78858 and find the biggest common factor number .

Step-1: Prime Factorization of 78840

Prime factors of 78840 are 2, 3, 5, 73. Prime factorization of 78840 in exponential form is:

78840 = 2³ × 3³ × 5¹ × 73¹

Step-2: Prime Factorization of 78858

Prime factors of 78858 are 2, 3, 13, 337. Prime factorization of 78858 in exponential form is:

78858 = 2¹ × 3² × 13¹ × 337¹

Step-3: Factors of 78840

List of positive integer factors of 78840 that divides 78840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 73, 90, 108, 120, 135, 146, 180, 216, 219, 270, 292, 360, 365, 438, 540, 584, 657, 730, 876, 1080, 1095, 1314, 1460, 1752, 1971, 2190, 2628, 2920, 3285, 3942, 4380, 5256, 6570, 7884, 8760, 9855, 13140, 15768, 19710, 26280, 39420

Step-4: Factors of 78858

List of positive integer factors of 78858 that divides 78840 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 337, 674, 1011, 2022, 3033, 4381, 6066, 8762, 13143, 26286, 39429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78840 and 78858. The biggest common factor number is the GCF number.
So the greatest common factor 78840 and 78858 is 18.

Also check out the Least Common Multiple of 78840 and 78858