What is the Greatest Common Factor of 35563 and 35569?

Greatest common factor (GCF) of 35563 and 35569 is 1.

GCF(35563,35569) = 1

We will now calculate the prime factors of 35563 and 35569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35563 and 35569.

How to find the GCF of 35563 and 35569?

We will first find the prime factorization of 35563 and 35569. After we will calculate the factors of 35563 and 35569 and find the biggest common factor number .

Step-1: Prime Factorization of 35563

Prime factors of 35563 are 11, 53, 61. Prime factorization of 35563 in exponential form is:

35563 = 11¹ × 53¹ × 61¹

Step-2: Prime Factorization of 35569

Prime factors of 35569 are 35569. Prime factorization of 35569 in exponential form is:

35569 = 35569¹

Step-3: Factors of 35563

List of positive integer factors of 35563 that divides 35563 without a remainder.

1, 11, 53, 61, 583, 671, 3233

Step-4: Factors of 35569

List of positive integer factors of 35569 that divides 35563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35563 and 35569. The biggest common factor number is the GCF number.
So the greatest common factor 35563 and 35569 is 1.

Also check out the Least Common Multiple of 35563 and 35569