What is the Greatest Common Factor of 42525 and 42544?

Greatest common factor (GCF) of 42525 and 42544 is 1.

GCF(42525,42544) = 1

We will now calculate the prime factors of 42525 and 42544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42525 and 42544.

How to find the GCF of 42525 and 42544?

We will first find the prime factorization of 42525 and 42544. After we will calculate the factors of 42525 and 42544 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42544

Prime factors of 42544 are 2, 2659. Prime factorization of 42544 in exponential form is:

42544 = 2⁴ × 2659¹

Step-3: Factors of 42525

List of positive integer factors of 42525 that divides 42525 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

Step-4: Factors of 42544

List of positive integer factors of 42544 that divides 42525 without a remainder.

1, 2, 4, 8, 16, 2659, 5318, 10636, 21272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42525 and 42544. The biggest common factor number is the GCF number.
So the greatest common factor 42525 and 42544 is 1.

Also check out the Least Common Multiple of 42525 and 42544