What is the Greatest Common Factor of 63558 and 63569?

Greatest common factor (GCF) of 63558 and 63569 is 11.

GCF(63558,63569) = 11

We will now calculate the prime factors of 63558 and 63569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63558 and 63569.

How to find the GCF of 63558 and 63569?

We will first find the prime factorization of 63558 and 63569. After we will calculate the factors of 63558 and 63569 and find the biggest common factor number .

Step-1: Prime Factorization of 63558

Prime factors of 63558 are 2, 3, 11, 107. Prime factorization of 63558 in exponential form is:

63558 = 2¹ × 3³ × 11¹ × 107¹

Step-2: Prime Factorization of 63569

Prime factors of 63569 are 11, 5779. Prime factorization of 63569 in exponential form is:

63569 = 11¹ × 5779¹

Step-3: Factors of 63558

List of positive integer factors of 63558 that divides 63558 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 107, 198, 214, 297, 321, 594, 642, 963, 1177, 1926, 2354, 2889, 3531, 5778, 7062, 10593, 21186, 31779

Step-4: Factors of 63569

List of positive integer factors of 63569 that divides 63558 without a remainder.

1, 11, 5779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63558 and 63569. The biggest common factor number is the GCF number.
So the greatest common factor 63558 and 63569 is 11.

Also check out the Least Common Multiple of 63558 and 63569