What is the Greatest Common Factor of 78822 and 78840?

Greatest common factor (GCF) of 78822 and 78840 is 18.

GCF(78822,78840) = 18

We will now calculate the prime factors of 78822 and 78840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78822 and 78840.

How to find the GCF of 78822 and 78840?

We will first find the prime factorization of 78822 and 78840. After we will calculate the factors of 78822 and 78840 and find the biggest common factor number .

Step-1: Prime Factorization of 78822

Prime factors of 78822 are 2, 3, 29, 151. Prime factorization of 78822 in exponential form is:

78822 = 2¹ × 3² × 29¹ × 151¹

Step-2: 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-3: Factors of 78822

List of positive integer factors of 78822 that divides 78822 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 151, 174, 261, 302, 453, 522, 906, 1359, 2718, 4379, 8758, 13137, 26274, 39411

Step-4: Factors of 78840

List of positive integer factors of 78840 that divides 78822 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78822 and 78840. The biggest common factor number is the GCF number.
So the greatest common factor 78822 and 78840 is 18.

Also check out the Least Common Multiple of 78822 and 78840