What is the Greatest Common Factor of 35525 and 35537?

Greatest common factor (GCF) of 35525 and 35537 is 1.

GCF(35525,35537) = 1

We will now calculate the prime factors of 35525 and 35537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35525 and 35537.

How to find the GCF of 35525 and 35537?

We will first find the prime factorization of 35525 and 35537. After we will calculate the factors of 35525 and 35537 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 35537

Prime factors of 35537 are 35537. Prime factorization of 35537 in exponential form is:

35537 = 35537¹

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 35537

List of positive integer factors of 35537 that divides 35525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35525 and 35537. The biggest common factor number is the GCF number.
So the greatest common factor 35525 and 35537 is 1.

Also check out the Least Common Multiple of 35525 and 35537