What is the Greatest Common Factor of 78761 and 78778?

Greatest common factor (GCF) of 78761 and 78778 is 17.

GCF(78761,78778) = 17

We will now calculate the prime factors of 78761 and 78778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78761 and 78778.

How to find the GCF of 78761 and 78778?

We will first find the prime factorization of 78761 and 78778. After we will calculate the factors of 78761 and 78778 and find the biggest common factor number .

Step-1: Prime Factorization of 78761

Prime factors of 78761 are 17, 41, 113. Prime factorization of 78761 in exponential form is:

78761 = 17¹ × 41¹ × 113¹

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 78761

List of positive integer factors of 78761 that divides 78761 without a remainder.

1, 17, 41, 113, 697, 1921, 4633

Step-4: Factors of 78778

List of positive integer factors of 78778 that divides 78761 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 78761 and 78778. The biggest common factor number is the GCF number.
So the greatest common factor 78761 and 78778 is 17.

Also check out the Least Common Multiple of 78761 and 78778