What is the Greatest Common Factor of 35518 and 35529?

Greatest common factor (GCF) of 35518 and 35529 is 1.

GCF(35518,35529) = 1

We will now calculate the prime factors of 35518 and 35529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35518 and 35529.

How to find the GCF of 35518 and 35529?

We will first find the prime factorization of 35518 and 35529. After we will calculate the factors of 35518 and 35529 and find the biggest common factor number .

Step-1: Prime Factorization of 35518

Prime factors of 35518 are 2, 7, 43, 59. Prime factorization of 35518 in exponential form is:

35518 = 2¹ × 7¹ × 43¹ × 59¹

Step-2: Prime Factorization of 35529

Prime factors of 35529 are 3, 13, 911. Prime factorization of 35529 in exponential form is:

35529 = 3¹ × 13¹ × 911¹

Step-3: Factors of 35518

List of positive integer factors of 35518 that divides 35518 without a remainder.

1, 2, 7, 14, 43, 59, 86, 118, 301, 413, 602, 826, 2537, 5074, 17759

Step-4: Factors of 35529

List of positive integer factors of 35529 that divides 35518 without a remainder.

1, 3, 13, 39, 911, 2733, 11843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35518 and 35529. The biggest common factor number is the GCF number.
So the greatest common factor 35518 and 35529 is 1.

Also check out the Least Common Multiple of 35518 and 35529