What is the Greatest Common Factor of 78590 and 78594?

Greatest common factor (GCF) of 78590 and 78594 is 2.

GCF(78590,78594) = 2

We will now calculate the prime factors of 78590 and 78594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78590 and 78594.

How to find the GCF of 78590 and 78594?

We will first find the prime factorization of 78590 and 78594. After we will calculate the factors of 78590 and 78594 and find the biggest common factor number .

Step-1: Prime Factorization of 78590

Prime factors of 78590 are 2, 5, 29, 271. Prime factorization of 78590 in exponential form is:

78590 = 2¹ × 5¹ × 29¹ × 271¹

Step-2: Prime Factorization of 78594

Prime factors of 78594 are 2, 3, 13099. Prime factorization of 78594 in exponential form is:

78594 = 2¹ × 3¹ × 13099¹

Step-3: Factors of 78590

List of positive integer factors of 78590 that divides 78590 without a remainder.

1, 2, 5, 10, 29, 58, 145, 271, 290, 542, 1355, 2710, 7859, 15718, 39295

Step-4: Factors of 78594

List of positive integer factors of 78594 that divides 78590 without a remainder.

1, 2, 3, 6, 13099, 26198, 39297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78590 and 78594. The biggest common factor number is the GCF number.
So the greatest common factor 78590 and 78594 is 2.

Also check out the Least Common Multiple of 78590 and 78594