What is the Greatest Common Factor of 78530 and 78550?

Greatest common factor (GCF) of 78530 and 78550 is 10.

GCF(78530,78550) = 10

We will now calculate the prime factors of 78530 and 78550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78530 and 78550.

How to find the GCF of 78530 and 78550?

We will first find the prime factorization of 78530 and 78550. After we will calculate the factors of 78530 and 78550 and find the biggest common factor number .

Step-1: Prime Factorization of 78530

Prime factors of 78530 are 2, 5, 7853. Prime factorization of 78530 in exponential form is:

78530 = 2¹ × 5¹ × 7853¹

Step-2: 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-3: Factors of 78530

List of positive integer factors of 78530 that divides 78530 without a remainder.

1, 2, 5, 10, 7853, 15706, 39265

Step-4: Factors of 78550

List of positive integer factors of 78550 that divides 78530 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78530 and 78550. The biggest common factor number is the GCF number.
So the greatest common factor 78530 and 78550 is 10.

Also check out the Least Common Multiple of 78530 and 78550