What is the Greatest Common Factor of 42510 and 42525?

Greatest common factor (GCF) of 42510 and 42525 is 15.

GCF(42510,42525) = 15

We will now calculate the prime factors of 42510 and 42525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42510 and 42525.

How to find the GCF of 42510 and 42525?

We will first find the prime factorization of 42510 and 42525. After we will calculate the factors of 42510 and 42525 and find the biggest common factor number .

Step-1: Prime Factorization of 42510

Prime factors of 42510 are 2, 3, 5, 13, 109. Prime factorization of 42510 in exponential form is:

42510 = 2¹ × 3¹ × 5¹ × 13¹ × 109¹

Step-2: Prime Factorization of 42525

Prime factors of 42525 are 3, 5, 7. Prime factorization of 42525 in exponential form is:

42525 = 3⁵ × 5² × 7¹

Step-3: Factors of 42510

List of positive integer factors of 42510 that divides 42510 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 109, 130, 195, 218, 327, 390, 545, 654, 1090, 1417, 1635, 2834, 3270, 4251, 7085, 8502, 14170, 21255

Step-4: Factors of 42525

List of positive integer factors of 42525 that divides 42510 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 135, 175, 189, 225, 243, 315, 405, 525, 567, 675, 945, 1215, 1575, 1701, 2025, 2835, 4725, 6075, 8505, 14175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42510 and 42525. The biggest common factor number is the GCF number.
So the greatest common factor 42510 and 42525 is 15.

Also check out the Least Common Multiple of 42510 and 42525