What is the Greatest Common Factor of 63954 and 63973?

Greatest common factor (GCF) of 63954 and 63973 is 19.

GCF(63954,63973) = 19

We will now calculate the prime factors of 63954 and 63973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63954 and 63973.

How to find the GCF of 63954 and 63973?

We will first find the prime factorization of 63954 and 63973. After we will calculate the factors of 63954 and 63973 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63973

Prime factors of 63973 are 7, 13, 19, 37. Prime factorization of 63973 in exponential form is:

63973 = 7¹ × 13¹ × 19¹ × 37¹

Step-3: Factors of 63954

List of positive integer factors of 63954 that divides 63954 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

Step-4: Factors of 63973

List of positive integer factors of 63973 that divides 63954 without a remainder.

1, 7, 13, 19, 37, 91, 133, 247, 259, 481, 703, 1729, 3367, 4921, 9139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63954 and 63973. The biggest common factor number is the GCF number.
So the greatest common factor 63954 and 63973 is 19.

Also check out the Least Common Multiple of 63954 and 63973