What is the Greatest Common Factor of 78550 and 78570?

Greatest common factor (GCF) of 78550 and 78570 is 10.

GCF(78550,78570) = 10

We will now calculate the prime factors of 78550 and 78570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78550 and 78570.

How to find the GCF of 78550 and 78570?

We will first find the prime factorization of 78550 and 78570. After we will calculate the factors of 78550 and 78570 and find the biggest common factor number .

Step-1: Prime Factorization of 78550

Prime factors of 78550 are 2, 5, 1571. Prime factorization of 78550 in exponential form is:

78550 = 2¹ × 5² × 1571¹

Step-2: 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-3: Factors of 78550

List of positive integer factors of 78550 that divides 78550 without a remainder.

1, 2, 5, 10, 25, 50, 1571, 3142, 7855, 15710, 39275

Step-4: Factors of 78570

List of positive integer factors of 78570 that divides 78550 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78550 and 78570. The biggest common factor number is the GCF number.
So the greatest common factor 78550 and 78570 is 10.

Also check out the Least Common Multiple of 78550 and 78570