What is the Greatest Common Factor of 35515 and 35524?

Greatest common factor (GCF) of 35515 and 35524 is 1.

GCF(35515,35524) = 1

We will now calculate the prime factors of 35515 and 35524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35515 and 35524.

How to find the GCF of 35515 and 35524?

We will first find the prime factorization of 35515 and 35524. After we will calculate the factors of 35515 and 35524 and find the biggest common factor number .

Step-1: Prime Factorization of 35515

Prime factors of 35515 are 5, 7103. Prime factorization of 35515 in exponential form is:

35515 = 5¹ × 7103¹

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 35515

List of positive integer factors of 35515 that divides 35515 without a remainder.

1, 5, 7103

Step-4: Factors of 35524

List of positive integer factors of 35524 that divides 35515 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 35515 and 35524. The biggest common factor number is the GCF number.
So the greatest common factor 35515 and 35524 is 1.

Also check out the Least Common Multiple of 35515 and 35524