What is the Greatest Common Factor of 35507 and 35524?

Greatest common factor (GCF) of 35507 and 35524 is 1.

GCF(35507,35524) = 1

We will now calculate the prime factors of 35507 and 35524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35507 and 35524.

How to find the GCF of 35507 and 35524?

We will first find the prime factorization of 35507 and 35524. After we will calculate the factors of 35507 and 35524 and find the biggest common factor number .

Step-1: Prime Factorization of 35507

Prime factors of 35507 are 35507. Prime factorization of 35507 in exponential form is:

35507 = 35507¹

Step-2: Prime Factorization of 35524

Prime factors of 35524 are 2, 83, 107. Prime factorization of 35524 in exponential form is:

35524 = 2² × 83¹ × 107¹

Step-3: Factors of 35507

List of positive integer factors of 35507 that divides 35507 without a remainder.

Step-4: Factors of 35524

List of positive integer factors of 35524 that divides 35507 without a remainder.

1, 2, 4, 83, 107, 166, 214, 332, 428, 8881, 17762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35507 and 35524. The biggest common factor number is the GCF number.
So the greatest common factor 35507 and 35524 is 1.

Also check out the Least Common Multiple of 35507 and 35524