What is the Greatest Common Factor of 78841 and 78848?

Greatest common factor (GCF) of 78841 and 78848 is 7.

GCF(78841,78848) = 7

We will now calculate the prime factors of 78841 and 78848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78841 and 78848.

How to find the GCF of 78841 and 78848?

We will first find the prime factorization of 78841 and 78848. After we will calculate the factors of 78841 and 78848 and find the biggest common factor number .

Step-1: Prime Factorization of 78841

Prime factors of 78841 are 7, 1609. Prime factorization of 78841 in exponential form is:

78841 = 7² × 1609¹

Step-2: Prime Factorization of 78848

Prime factors of 78848 are 2, 7, 11. Prime factorization of 78848 in exponential form is:

78848 = 2¹⁰ × 7¹ × 11¹

Step-3: Factors of 78841

List of positive integer factors of 78841 that divides 78841 without a remainder.

1, 7, 49, 1609, 11263

Step-4: Factors of 78848

List of positive integer factors of 78848 that divides 78841 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 256, 308, 352, 448, 512, 616, 704, 896, 1024, 1232, 1408, 1792, 2464, 2816, 3584, 4928, 5632, 7168, 9856, 11264, 19712, 39424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78841 and 78848. The biggest common factor number is the GCF number.
So the greatest common factor 78841 and 78848 is 7.

Also check out the Least Common Multiple of 78841 and 78848