What is the Greatest Common Factor of 69505 and 69525?

Greatest common factor (GCF) of 69505 and 69525 is 5.

GCF(69505,69525) = 5

We will now calculate the prime factors of 69505 and 69525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69505 and 69525.

How to find the GCF of 69505 and 69525?

We will first find the prime factorization of 69505 and 69525. After we will calculate the factors of 69505 and 69525 and find the biggest common factor number .

Step-1: Prime Factorization of 69505

Prime factors of 69505 are 5, 13901. Prime factorization of 69505 in exponential form is:

69505 = 5¹ × 13901¹

Step-2: 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-3: Factors of 69505

List of positive integer factors of 69505 that divides 69505 without a remainder.

1, 5, 13901

Step-4: Factors of 69525

List of positive integer factors of 69525 that divides 69505 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69505 and 69525. The biggest common factor number is the GCF number.
So the greatest common factor 69505 and 69525 is 5.

Also check out the Least Common Multiple of 69505 and 69525