What is the Greatest Common Factor of 78862 and 78868?

Greatest common factor (GCF) of 78862 and 78868 is 2.

GCF(78862,78868) = 2

We will now calculate the prime factors of 78862 and 78868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78862 and 78868.

How to find the GCF of 78862 and 78868?

We will first find the prime factorization of 78862 and 78868. After we will calculate the factors of 78862 and 78868 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78868

Prime factors of 78868 are 2, 19717. Prime factorization of 78868 in exponential form is:

78868 = 2² × 19717¹

Step-3: Factors of 78862

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

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

Step-4: Factors of 78868

List of positive integer factors of 78868 that divides 78862 without a remainder.

1, 2, 4, 19717, 39434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78862 and 78868. The biggest common factor number is the GCF number.
So the greatest common factor 78862 and 78868 is 2.

Also check out the Least Common Multiple of 78862 and 78868