What is the Greatest Common Factor of 78351 and 78368?

Greatest common factor (GCF) of 78351 and 78368 is 1.

GCF(78351,78368) = 1

We will now calculate the prime factors of 78351 and 78368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78351 and 78368.

How to find the GCF of 78351 and 78368?

We will first find the prime factorization of 78351 and 78368. After we will calculate the factors of 78351 and 78368 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 78368

Prime factors of 78368 are 2, 31, 79. Prime factorization of 78368 in exponential form is:

78368 = 2⁵ × 31¹ × 79¹

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 78368

List of positive integer factors of 78368 that divides 78351 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 79, 124, 158, 248, 316, 496, 632, 992, 1264, 2449, 2528, 4898, 9796, 19592, 39184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78351 and 78368. The biggest common factor number is the GCF number.
So the greatest common factor 78351 and 78368 is 1.

Also check out the Least Common Multiple of 78351 and 78368