What is the Greatest Common Factor of 1525 and 1539?

Greatest common factor (GCF) of 1525 and 1539 is 1.

GCF(1525,1539) = 1

We will now calculate the prime factors of 1525 and 1539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1525 and 1539.

How to find the GCF of 1525 and 1539?

We will first find the prime factorization of 1525 and 1539. After we will calculate the factors of 1525 and 1539 and find the biggest common factor number .

Step-1: Prime Factorization of 1525

Prime factors of 1525 are 5, 61. Prime factorization of 1525 in exponential form is:

1525 = 5² × 61¹

Step-2: Prime Factorization of 1539

Prime factors of 1539 are 3, 19. Prime factorization of 1539 in exponential form is:

1539 = 3⁴ × 19¹

Step-3: Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1, 5, 25, 61, 305

Step-4: Factors of 1539

List of positive integer factors of 1539 that divides 1525 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1525 and 1539. The biggest common factor number is the GCF number.
So the greatest common factor 1525 and 1539 is 1.

Also check out the Least Common Multiple of 1525 and 1539