What is the Greatest Common Factor of 35525 and 35534?

Greatest common factor (GCF) of 35525 and 35534 is 1.

GCF(35525,35534) = 1

We will now calculate the prime factors of 35525 and 35534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35525 and 35534.

How to find the GCF of 35525 and 35534?

We will first find the prime factorization of 35525 and 35534. After we will calculate the factors of 35525 and 35534 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 35534

Prime factors of 35534 are 2, 109, 163. Prime factorization of 35534 in exponential form is:

35534 = 2¹ × 109¹ × 163¹

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 35534

List of positive integer factors of 35534 that divides 35525 without a remainder.

1, 2, 109, 163, 218, 326, 17767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35525 and 35534. The biggest common factor number is the GCF number.
So the greatest common factor 35525 and 35534 is 1.

Also check out the Least Common Multiple of 35525 and 35534