What is the Greatest Common Factor of 78742 and 78761?

Greatest common factor (GCF) of 78742 and 78761 is 1.

GCF(78742,78761) = 1

We will now calculate the prime factors of 78742 and 78761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78742 and 78761.

How to find the GCF of 78742 and 78761?

We will first find the prime factorization of 78742 and 78761. After we will calculate the factors of 78742 and 78761 and find the biggest common factor number .

Step-1: Prime Factorization of 78742

Prime factors of 78742 are 2, 39371. Prime factorization of 78742 in exponential form is:

78742 = 2¹ × 39371¹

Step-2: 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-3: Factors of 78742

List of positive integer factors of 78742 that divides 78742 without a remainder.

1, 2, 39371

Step-4: Factors of 78761

List of positive integer factors of 78761 that divides 78742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78742 and 78761. The biggest common factor number is the GCF number.
So the greatest common factor 78742 and 78761 is 1.

Also check out the Least Common Multiple of 78742 and 78761