What is the Greatest Common Factor of 78312 and 78321?

Greatest common factor (GCF) of 78312 and 78321 is 3.

GCF(78312,78321) = 3

We will now calculate the prime factors of 78312 and 78321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78312 and 78321.

How to find the GCF of 78312 and 78321?

We will first find the prime factorization of 78312 and 78321. After we will calculate the factors of 78312 and 78321 and find the biggest common factor number .

Step-1: Prime Factorization of 78312

Prime factors of 78312 are 2, 3, 13, 251. Prime factorization of 78312 in exponential form is:

78312 = 2³ × 3¹ × 13¹ × 251¹

Step-2: Prime Factorization of 78321

Prime factors of 78321 are 3, 26107. Prime factorization of 78321 in exponential form is:

78321 = 3¹ × 26107¹

Step-3: Factors of 78312

List of positive integer factors of 78312 that divides 78312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 251, 312, 502, 753, 1004, 1506, 2008, 3012, 3263, 6024, 6526, 9789, 13052, 19578, 26104, 39156

Step-4: Factors of 78321

List of positive integer factors of 78321 that divides 78312 without a remainder.

1, 3, 26107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78312 and 78321. The biggest common factor number is the GCF number.
So the greatest common factor 78312 and 78321 is 3.

Also check out the Least Common Multiple of 78312 and 78321