What is the Greatest Common Factor of 69525 and 69540?

Greatest common factor (GCF) of 69525 and 69540 is 15.

GCF(69525,69540) = 15

We will now calculate the prime factors of 69525 and 69540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69525 and 69540.

How to find the GCF of 69525 and 69540?

We will first find the prime factorization of 69525 and 69540. After we will calculate the factors of 69525 and 69540 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 69540

Prime factors of 69540 are 2, 3, 5, 19, 61. Prime factorization of 69540 in exponential form is:

69540 = 2² × 3¹ × 5¹ × 19¹ × 61¹

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 69540

List of positive integer factors of 69540 that divides 69525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 61, 76, 95, 114, 122, 183, 190, 228, 244, 285, 305, 366, 380, 570, 610, 732, 915, 1140, 1159, 1220, 1830, 2318, 3477, 3660, 4636, 5795, 6954, 11590, 13908, 17385, 23180, 34770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69525 and 69540. The biggest common factor number is the GCF number.
So the greatest common factor 69525 and 69540 is 15.

Also check out the Least Common Multiple of 69525 and 69540