What is the Greatest Common Factor of 63549 and 63558?

Greatest common factor (GCF) of 63549 and 63558 is 9.

GCF(63549,63558) = 9

We will now calculate the prime factors of 63549 and 63558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63549 and 63558.

How to find the GCF of 63549 and 63558?

We will first find the prime factorization of 63549 and 63558. After we will calculate the factors of 63549 and 63558 and find the biggest common factor number .

Step-1: Prime Factorization of 63549

Prime factors of 63549 are 3, 23, 307. Prime factorization of 63549 in exponential form is:

63549 = 3² × 23¹ × 307¹

Step-2: 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-3: Factors of 63549

List of positive integer factors of 63549 that divides 63549 without a remainder.

1, 3, 9, 23, 69, 207, 307, 921, 2763, 7061, 21183

Step-4: Factors of 63558

List of positive integer factors of 63558 that divides 63549 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63549 and 63558. The biggest common factor number is the GCF number.
So the greatest common factor 63549 and 63558 is 9.

Also check out the Least Common Multiple of 63549 and 63558