What is the Greatest Common Factor of 15972 and 15982?

Greatest common factor (GCF) of 15972 and 15982 is 2.

GCF(15972,15982) = 2

We will now calculate the prime factors of 15972 and 15982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15972 and 15982.

How to find the GCF of 15972 and 15982?

We will first find the prime factorization of 15972 and 15982. After we will calculate the factors of 15972 and 15982 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15982

Prime factors of 15982 are 2, 61, 131. Prime factorization of 15982 in exponential form is:

15982 = 2¹ × 61¹ × 131¹

Step-3: Factors of 15972

List of positive integer factors of 15972 that divides 15972 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

Step-4: Factors of 15982

List of positive integer factors of 15982 that divides 15972 without a remainder.

1, 2, 61, 122, 131, 262, 7991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15972 and 15982. The biggest common factor number is the GCF number.
So the greatest common factor 15972 and 15982 is 2.

Also check out the Least Common Multiple of 15972 and 15982