What is the Greatest Common Factor of 78864 and 78881?

Greatest common factor (GCF) of 78864 and 78881 is 1.

GCF(78864,78881) = 1

We will now calculate the prime factors of 78864 and 78881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78864 and 78881.

How to find the GCF of 78864 and 78881?

We will first find the prime factorization of 78864 and 78881. After we will calculate the factors of 78864 and 78881 and find the biggest common factor number .

Step-1: Prime Factorization of 78864

Prime factors of 78864 are 2, 3, 31, 53. Prime factorization of 78864 in exponential form is:

78864 = 2⁴ × 3¹ × 31¹ × 53¹

Step-2: Prime Factorization of 78881

Prime factors of 78881 are 11, 71, 101. Prime factorization of 78881 in exponential form is:

78881 = 11¹ × 71¹ × 101¹

Step-3: Factors of 78864

List of positive integer factors of 78864 that divides 78864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 53, 62, 93, 106, 124, 159, 186, 212, 248, 318, 372, 424, 496, 636, 744, 848, 1272, 1488, 1643, 2544, 3286, 4929, 6572, 9858, 13144, 19716, 26288, 39432

Step-4: Factors of 78881

List of positive integer factors of 78881 that divides 78864 without a remainder.

1, 11, 71, 101, 781, 1111, 7171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78864 and 78881. The biggest common factor number is the GCF number.
So the greatest common factor 78864 and 78881 is 1.

Also check out the Least Common Multiple of 78864 and 78881