What is the Greatest Common Factor of 35547 and 35562?

Greatest common factor (GCF) of 35547 and 35562 is 3.

GCF(35547,35562) = 3

We will now calculate the prime factors of 35547 and 35562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35547 and 35562.

How to find the GCF of 35547 and 35562?

We will first find the prime factorization of 35547 and 35562. After we will calculate the factors of 35547 and 35562 and find the biggest common factor number .

Step-1: Prime Factorization of 35547

Prime factors of 35547 are 3, 17, 41. Prime factorization of 35547 in exponential form is:

35547 = 3¹ × 17² × 41¹

Step-2: Prime Factorization of 35562

Prime factors of 35562 are 2, 3, 5927. Prime factorization of 35562 in exponential form is:

35562 = 2¹ × 3¹ × 5927¹

Step-3: Factors of 35547

List of positive integer factors of 35547 that divides 35547 without a remainder.

1, 3, 17, 41, 51, 123, 289, 697, 867, 2091, 11849

Step-4: Factors of 35562

List of positive integer factors of 35562 that divides 35547 without a remainder.

1, 2, 3, 6, 5927, 11854, 17781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35547 and 35562. The biggest common factor number is the GCF number.
So the greatest common factor 35547 and 35562 is 3.

Also check out the Least Common Multiple of 35547 and 35562