What is the Greatest Common Factor of 78351 and 78364?

Greatest common factor (GCF) of 78351 and 78364 is 13.

GCF(78351,78364) = 13

We will now calculate the prime factors of 78351 and 78364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78351 and 78364.

How to find the GCF of 78351 and 78364?

We will first find the prime factorization of 78351 and 78364. After we will calculate the factors of 78351 and 78364 and find the biggest common factor number .

Step-1: Prime Factorization of 78351

Prime factors of 78351 are 3, 7, 13, 41. Prime factorization of 78351 in exponential form is:

78351 = 3¹ × 7² × 13¹ × 41¹

Step-2: Prime Factorization of 78364

Prime factors of 78364 are 2, 11, 13, 137. Prime factorization of 78364 in exponential form is:

78364 = 2² × 11¹ × 13¹ × 137¹

Step-3: Factors of 78351

List of positive integer factors of 78351 that divides 78351 without a remainder.

1, 3, 7, 13, 21, 39, 41, 49, 91, 123, 147, 273, 287, 533, 637, 861, 1599, 1911, 2009, 3731, 6027, 11193, 26117

Step-4: Factors of 78364

List of positive integer factors of 78364 that divides 78351 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 137, 143, 274, 286, 548, 572, 1507, 1781, 3014, 3562, 6028, 7124, 19591, 39182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78351 and 78364. The biggest common factor number is the GCF number.
So the greatest common factor 78351 and 78364 is 13.

Also check out the Least Common Multiple of 78351 and 78364