What is the Greatest Common Factor of 63945 and 63954?

Greatest common factor (GCF) of 63945 and 63954 is 9.

GCF(63945,63954) = 9

We will now calculate the prime factors of 63945 and 63954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63945 and 63954.

How to find the GCF of 63945 and 63954?

We will first find the prime factorization of 63945 and 63954. After we will calculate the factors of 63945 and 63954 and find the biggest common factor number .

Step-1: Prime Factorization of 63945

Prime factors of 63945 are 3, 5, 7, 29. Prime factorization of 63945 in exponential form is:

63945 = 3² × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 63954

Prime factors of 63954 are 2, 3, 11, 17, 19. Prime factorization of 63954 in exponential form is:

63954 = 2¹ × 3² × 11¹ × 17¹ × 19¹

Step-3: Factors of 63945

List of positive integer factors of 63945 that divides 63945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 49, 63, 87, 105, 145, 147, 203, 245, 261, 315, 435, 441, 609, 735, 1015, 1305, 1421, 1827, 2205, 3045, 4263, 7105, 9135, 12789, 21315

Step-4: Factors of 63954

List of positive integer factors of 63954 that divides 63945 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 19, 22, 33, 34, 38, 51, 57, 66, 99, 102, 114, 153, 171, 187, 198, 209, 306, 323, 342, 374, 418, 561, 627, 646, 969, 1122, 1254, 1683, 1881, 1938, 2907, 3366, 3553, 3762, 5814, 7106, 10659, 21318, 31977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63945 and 63954. The biggest common factor number is the GCF number.
So the greatest common factor 63945 and 63954 is 9.

Also check out the Least Common Multiple of 63945 and 63954