What is the Greatest Common Factor of 78706 and 78721?

Greatest common factor (GCF) of 78706 and 78721 is 1.

GCF(78706,78721) = 1

We will now calculate the prime factors of 78706 and 78721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78706 and 78721.

How to find the GCF of 78706 and 78721?

We will first find the prime factorization of 78706 and 78721. After we will calculate the factors of 78706 and 78721 and find the biggest common factor number .

Step-1: Prime Factorization of 78706

Prime factors of 78706 are 2, 23, 29, 59. Prime factorization of 78706 in exponential form is:

78706 = 2¹ × 23¹ × 29¹ × 59¹

Step-2: Prime Factorization of 78721

Prime factors of 78721 are 78721. Prime factorization of 78721 in exponential form is:

78721 = 78721¹

Step-3: Factors of 78706

List of positive integer factors of 78706 that divides 78706 without a remainder.

1, 2, 23, 29, 46, 58, 59, 118, 667, 1334, 1357, 1711, 2714, 3422, 39353

Step-4: Factors of 78721

List of positive integer factors of 78721 that divides 78706 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78706 and 78721. The biggest common factor number is the GCF number.
So the greatest common factor 78706 and 78721 is 1.

Also check out the Least Common Multiple of 78706 and 78721