What is the Greatest Common Factor of 35518 and 35525?

Greatest common factor (GCF) of 35518 and 35525 is 7.

GCF(35518,35525) = 7

We will now calculate the prime factors of 35518 and 35525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35518 and 35525.

How to find the GCF of 35518 and 35525?

We will first find the prime factorization of 35518 and 35525. After we will calculate the factors of 35518 and 35525 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 35525

Prime factors of 35525 are 5, 7, 29. Prime factorization of 35525 in exponential form is:

35525 = 5² × 7² × 29¹

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 35525

List of positive integer factors of 35525 that divides 35518 without a remainder.

1, 5, 7, 25, 29, 35, 49, 145, 175, 203, 245, 725, 1015, 1225, 1421, 5075, 7105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35518 and 35525. The biggest common factor number is the GCF number.
So the greatest common factor 35518 and 35525 is 7.

Also check out the Least Common Multiple of 35518 and 35525