What is the Greatest Common Factor of 78338 and 78351?

Greatest common factor (GCF) of 78338 and 78351 is 13.

GCF(78338,78351) = 13

We will now calculate the prime factors of 78338 and 78351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78338 and 78351.

How to find the GCF of 78338 and 78351?

We will first find the prime factorization of 78338 and 78351. After we will calculate the factors of 78338 and 78351 and find the biggest common factor number .

Step-1: Prime Factorization of 78338

Prime factors of 78338 are 2, 13, 23, 131. Prime factorization of 78338 in exponential form is:

78338 = 2¹ × 13¹ × 23¹ × 131¹

Step-2: 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-3: Factors of 78338

List of positive integer factors of 78338 that divides 78338 without a remainder.

1, 2, 13, 23, 26, 46, 131, 262, 299, 598, 1703, 3013, 3406, 6026, 39169

Step-4: Factors of 78351

List of positive integer factors of 78351 that divides 78338 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78338 and 78351. The biggest common factor number is the GCF number.
So the greatest common factor 78338 and 78351 is 13.

Also check out the Least Common Multiple of 78338 and 78351