What is the Greatest Common Factor of 42525 and 42538?

Greatest common factor (GCF) of 42525 and 42538 is 1.

GCF(42525,42538) = 1

We will now calculate the prime factors of 42525 and 42538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42525 and 42538.

How to find the GCF of 42525 and 42538?

We will first find the prime factorization of 42525 and 42538. After we will calculate the factors of 42525 and 42538 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 42538

Prime factors of 42538 are 2, 21269. Prime factorization of 42538 in exponential form is:

42538 = 2¹ × 21269¹

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 42538

List of positive integer factors of 42538 that divides 42525 without a remainder.

1, 2, 21269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42525 and 42538. The biggest common factor number is the GCF number.
So the greatest common factor 42525 and 42538 is 1.

Also check out the Least Common Multiple of 42525 and 42538