What is the Greatest Common Factor of 78570 and 78590?

Greatest common factor (GCF) of 78570 and 78590 is 10.

GCF(78570,78590) = 10

We will now calculate the prime factors of 78570 and 78590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78570 and 78590.

How to find the GCF of 78570 and 78590?

We will first find the prime factorization of 78570 and 78590. After we will calculate the factors of 78570 and 78590 and find the biggest common factor number .

Step-1: Prime Factorization of 78570

Prime factors of 78570 are 2, 3, 5, 97. Prime factorization of 78570 in exponential form is:

78570 = 2¹ × 3⁴ × 5¹ × 97¹

Step-2: 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-3: Factors of 78570

List of positive integer factors of 78570 that divides 78570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 97, 135, 162, 194, 270, 291, 405, 485, 582, 810, 873, 970, 1455, 1746, 2619, 2910, 4365, 5238, 7857, 8730, 13095, 15714, 26190, 39285

Step-4: Factors of 78590

List of positive integer factors of 78590 that divides 78570 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78570 and 78590. The biggest common factor number is the GCF number.
So the greatest common factor 78570 and 78590 is 10.

Also check out the Least Common Multiple of 78570 and 78590