What is the Greatest Common Factor of 69525 and 69539?

Greatest common factor (GCF) of 69525 and 69539 is 1.

GCF(69525,69539) = 1

We will now calculate the prime factors of 69525 and 69539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69525 and 69539.

How to find the GCF of 69525 and 69539?

We will first find the prime factorization of 69525 and 69539. After we will calculate the factors of 69525 and 69539 and find the biggest common factor number .

Step-1: Prime Factorization of 69525

Prime factors of 69525 are 3, 5, 103. Prime factorization of 69525 in exponential form is:

69525 = 3³ × 5² × 103¹

Step-2: Prime Factorization of 69539

Prime factors of 69539 are 69539. Prime factorization of 69539 in exponential form is:

69539 = 69539¹

Step-3: Factors of 69525

List of positive integer factors of 69525 that divides 69525 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 103, 135, 225, 309, 515, 675, 927, 1545, 2575, 2781, 4635, 7725, 13905, 23175

Step-4: Factors of 69539

List of positive integer factors of 69539 that divides 69525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69525 and 69539. The biggest common factor number is the GCF number.
So the greatest common factor 69525 and 69539 is 1.

Also check out the Least Common Multiple of 69525 and 69539