What is the Greatest Common Factor of 78854 and 78862?

Greatest common factor (GCF) of 78854 and 78862 is 2.

GCF(78854,78862) = 2

We will now calculate the prime factors of 78854 and 78862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78854 and 78862.

How to find the GCF of 78854 and 78862?

We will first find the prime factorization of 78854 and 78862. After we will calculate the factors of 78854 and 78862 and find the biggest common factor number .

Step-1: Prime Factorization of 78854

Prime factors of 78854 are 2, 89, 443. Prime factorization of 78854 in exponential form is:

78854 = 2¹ × 89¹ × 443¹

Step-2: Prime Factorization of 78862

Prime factors of 78862 are 2, 7, 43, 131. Prime factorization of 78862 in exponential form is:

78862 = 2¹ × 7¹ × 43¹ × 131¹

Step-3: Factors of 78854

List of positive integer factors of 78854 that divides 78854 without a remainder.

1, 2, 89, 178, 443, 886, 39427

Step-4: Factors of 78862

List of positive integer factors of 78862 that divides 78854 without a remainder.

1, 2, 7, 14, 43, 86, 131, 262, 301, 602, 917, 1834, 5633, 11266, 39431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78854 and 78862. The biggest common factor number is the GCF number.
So the greatest common factor 78854 and 78862 is 2.

Also check out the Least Common Multiple of 78854 and 78862