What is the Greatest Common Factor of 35525 and 35538?

Greatest common factor (GCF) of 35525 and 35538 is 1.

GCF(35525,35538) = 1

We will now calculate the prime factors of 35525 and 35538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35525 and 35538.

How to find the GCF of 35525 and 35538?

We will first find the prime factorization of 35525 and 35538. After we will calculate the factors of 35525 and 35538 and find the biggest common factor number .

Step-1: Prime Factorization of 35525

Prime factors of 35525 are 5, 7, 29. Prime factorization of 35525 in exponential form is:

35525 = 5² × 7² × 29¹

Step-2: Prime Factorization of 35538

Prime factors of 35538 are 2, 3, 5923. Prime factorization of 35538 in exponential form is:

35538 = 2¹ × 3¹ × 5923¹

Step-3: Factors of 35525

List of positive integer factors of 35525 that divides 35525 without a remainder.

1, 5, 7, 25, 29, 35, 49, 145, 175, 203, 245, 725, 1015, 1225, 1421, 5075, 7105

Step-4: Factors of 35538

List of positive integer factors of 35538 that divides 35525 without a remainder.

1, 2, 3, 6, 5923, 11846, 17769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35525 and 35538. The biggest common factor number is the GCF number.
So the greatest common factor 35525 and 35538 is 1.

Also check out the Least Common Multiple of 35525 and 35538