What is the Greatest Common Factor of 78590 and 78595?

Greatest common factor (GCF) of 78590 and 78595 is 5.

GCF(78590,78595) = 5

We will now calculate the prime factors of 78590 and 78595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78590 and 78595.

How to find the GCF of 78590 and 78595?

We will first find the prime factorization of 78590 and 78595. After we will calculate the factors of 78590 and 78595 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 78595

Prime factors of 78595 are 5, 11, 1429. Prime factorization of 78595 in exponential form is:

78595 = 5¹ × 11¹ × 1429¹

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 78595

List of positive integer factors of 78595 that divides 78590 without a remainder.

1, 5, 11, 55, 1429, 7145, 15719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78590 and 78595. The biggest common factor number is the GCF number.
So the greatest common factor 78590 and 78595 is 5.

Also check out the Least Common Multiple of 78590 and 78595