What is the Greatest Common Factor of 78554 and 78568?

Greatest common factor (GCF) of 78554 and 78568 is 14.

GCF(78554,78568) = 14

We will now calculate the prime factors of 78554 and 78568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78554 and 78568.

How to find the GCF of 78554 and 78568?

We will first find the prime factorization of 78554 and 78568. After we will calculate the factors of 78554 and 78568 and find the biggest common factor number .

Step-1: Prime Factorization of 78554

Prime factors of 78554 are 2, 7, 31, 181. Prime factorization of 78554 in exponential form is:

78554 = 2¹ × 7¹ × 31¹ × 181¹

Step-2: Prime Factorization of 78568

Prime factors of 78568 are 2, 7, 23, 61. Prime factorization of 78568 in exponential form is:

78568 = 2³ × 7¹ × 23¹ × 61¹

Step-3: Factors of 78554

List of positive integer factors of 78554 that divides 78554 without a remainder.

1, 2, 7, 14, 31, 62, 181, 217, 362, 434, 1267, 2534, 5611, 11222, 39277

Step-4: Factors of 78568

List of positive integer factors of 78568 that divides 78554 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 61, 92, 122, 161, 184, 244, 322, 427, 488, 644, 854, 1288, 1403, 1708, 2806, 3416, 5612, 9821, 11224, 19642, 39284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78554 and 78568. The biggest common factor number is the GCF number.
So the greatest common factor 78554 and 78568 is 14.

Also check out the Least Common Multiple of 78554 and 78568