What is the Greatest Common Factor of 78761 and 78775?

Greatest common factor (GCF) of 78761 and 78775 is 1.

GCF(78761,78775) = 1

We will now calculate the prime factors of 78761 and 78775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78761 and 78775.

How to find the GCF of 78761 and 78775?

We will first find the prime factorization of 78761 and 78775. After we will calculate the factors of 78761 and 78775 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 78775

Prime factors of 78775 are 5, 23, 137. Prime factorization of 78775 in exponential form is:

78775 = 5² × 23¹ × 137¹

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 78775

List of positive integer factors of 78775 that divides 78761 without a remainder.

1, 5, 23, 25, 115, 137, 575, 685, 3151, 3425, 15755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78761 and 78775. The biggest common factor number is the GCF number.
So the greatest common factor 78761 and 78775 is 1.

Also check out the Least Common Multiple of 78761 and 78775