What is the Greatest Common Factor of 78772 and 78778?

Greatest common factor (GCF) of 78772 and 78778 is 2.

GCF(78772,78778) = 2

We will now calculate the prime factors of 78772 and 78778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78772 and 78778.

How to find the GCF of 78772 and 78778?

We will first find the prime factorization of 78772 and 78778. After we will calculate the factors of 78772 and 78778 and find the biggest common factor number .

Step-1: Prime Factorization of 78772

Prime factors of 78772 are 2, 47, 419. Prime factorization of 78772 in exponential form is:

78772 = 2² × 47¹ × 419¹

Step-2: Prime Factorization of 78778

Prime factors of 78778 are 2, 7, 17, 331. Prime factorization of 78778 in exponential form is:

78778 = 2¹ × 7¹ × 17¹ × 331¹

Step-3: Factors of 78772

List of positive integer factors of 78772 that divides 78772 without a remainder.

1, 2, 4, 47, 94, 188, 419, 838, 1676, 19693, 39386

Step-4: Factors of 78778

List of positive integer factors of 78778 that divides 78772 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 331, 662, 2317, 4634, 5627, 11254, 39389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78772 and 78778. The biggest common factor number is the GCF number.
So the greatest common factor 78772 and 78778 is 2.

Also check out the Least Common Multiple of 78772 and 78778