What is the Greatest Common Factor of 78525 and 78530?

Greatest common factor (GCF) of 78525 and 78530 is 5.

GCF(78525,78530) = 5

We will now calculate the prime factors of 78525 and 78530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78525 and 78530.

How to find the GCF of 78525 and 78530?

We will first find the prime factorization of 78525 and 78530. After we will calculate the factors of 78525 and 78530 and find the biggest common factor number .

Step-1: Prime Factorization of 78525

Prime factors of 78525 are 3, 5, 349. Prime factorization of 78525 in exponential form is:

78525 = 3² × 5² × 349¹

Step-2: 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-3: Factors of 78525

List of positive integer factors of 78525 that divides 78525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 349, 1047, 1745, 3141, 5235, 8725, 15705, 26175

Step-4: Factors of 78530

List of positive integer factors of 78530 that divides 78525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78525 and 78530. The biggest common factor number is the GCF number.
So the greatest common factor 78525 and 78530 is 5.

Also check out the Least Common Multiple of 78525 and 78530