What is the Greatest Common Factor of 35524 and 35536?

Greatest common factor (GCF) of 35524 and 35536 is 4.

GCF(35524,35536) = 4

We will now calculate the prime factors of 35524 and 35536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35524 and 35536.

How to find the GCF of 35524 and 35536?

We will first find the prime factorization of 35524 and 35536. After we will calculate the factors of 35524 and 35536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35536

Prime factors of 35536 are 2, 2221. Prime factorization of 35536 in exponential form is:

35536 = 2⁴ × 2221¹

Step-3: Factors of 35524

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

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

Step-4: Factors of 35536

List of positive integer factors of 35536 that divides 35524 without a remainder.

1, 2, 4, 8, 16, 2221, 4442, 8884, 17768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35524 and 35536. The biggest common factor number is the GCF number.
So the greatest common factor 35524 and 35536 is 4.

Also check out the Least Common Multiple of 35524 and 35536