What is the Greatest Common Factor of 78519 and 78525?

Greatest common factor (GCF) of 78519 and 78525 is 3.

GCF(78519,78525) = 3

We will now calculate the prime factors of 78519 and 78525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78519 and 78525.

How to find the GCF of 78519 and 78525?

We will first find the prime factorization of 78519 and 78525. After we will calculate the factors of 78519 and 78525 and find the biggest common factor number .

Step-1: Prime Factorization of 78519

Prime factors of 78519 are 3, 7, 3739. Prime factorization of 78519 in exponential form is:

78519 = 3¹ × 7¹ × 3739¹

Step-2: 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-3: Factors of 78519

List of positive integer factors of 78519 that divides 78519 without a remainder.

1, 3, 7, 21, 3739, 11217, 26173

Step-4: Factors of 78525

List of positive integer factors of 78525 that divides 78519 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78519 and 78525. The biggest common factor number is the GCF number.
So the greatest common factor 78519 and 78525 is 3.

Also check out the Least Common Multiple of 78519 and 78525