What is the Greatest Common Factor of 15963 and 15972?

Greatest common factor (GCF) of 15963 and 15972 is 3.

GCF(15963,15972) = 3

We will now calculate the prime factors of 15963 and 15972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15963 and 15972.

How to find the GCF of 15963 and 15972?

We will first find the prime factorization of 15963 and 15972. After we will calculate the factors of 15963 and 15972 and find the biggest common factor number .

Step-1: Prime Factorization of 15963

Prime factors of 15963 are 3, 17, 313. Prime factorization of 15963 in exponential form is:

15963 = 3¹ × 17¹ × 313¹

Step-2: Prime Factorization of 15972

Prime factors of 15972 are 2, 3, 11. Prime factorization of 15972 in exponential form is:

15972 = 2² × 3¹ × 11³

Step-3: Factors of 15963

List of positive integer factors of 15963 that divides 15963 without a remainder.

1, 3, 17, 51, 313, 939, 5321

Step-4: Factors of 15972

List of positive integer factors of 15972 that divides 15963 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1331, 1452, 2662, 3993, 5324, 7986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15963 and 15972. The biggest common factor number is the GCF number.
So the greatest common factor 15963 and 15972 is 3.

Also check out the Least Common Multiple of 15963 and 15972