What is the Greatest Common Factor of 78812 and 78831?

Greatest common factor (GCF) of 78812 and 78831 is 19.

GCF(78812,78831) = 19

We will now calculate the prime factors of 78812 and 78831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78812 and 78831.

How to find the GCF of 78812 and 78831?

We will first find the prime factorization of 78812 and 78831. After we will calculate the factors of 78812 and 78831 and find the biggest common factor number .

Step-1: Prime Factorization of 78812

Prime factors of 78812 are 2, 17, 19, 61. Prime factorization of 78812 in exponential form is:

78812 = 2² × 17¹ × 19¹ × 61¹

Step-2: Prime Factorization of 78831

Prime factors of 78831 are 3, 19, 461. Prime factorization of 78831 in exponential form is:

78831 = 3² × 19¹ × 461¹

Step-3: Factors of 78812

List of positive integer factors of 78812 that divides 78812 without a remainder.

1, 2, 4, 17, 19, 34, 38, 61, 68, 76, 122, 244, 323, 646, 1037, 1159, 1292, 2074, 2318, 4148, 4636, 19703, 39406

Step-4: Factors of 78831

List of positive integer factors of 78831 that divides 78812 without a remainder.

1, 3, 9, 19, 57, 171, 461, 1383, 4149, 8759, 26277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78812 and 78831. The biggest common factor number is the GCF number.
So the greatest common factor 78812 and 78831 is 19.

Also check out the Least Common Multiple of 78812 and 78831