What is the Greatest Common Factor of 30972 and 30987?

Greatest common factor (GCF) of 30972 and 30987 is 3.

GCF(30972,30987) = 3

We will now calculate the prime factors of 30972 and 30987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30972 and 30987.

How to find the GCF of 30972 and 30987?

We will first find the prime factorization of 30972 and 30987. After we will calculate the factors of 30972 and 30987 and find the biggest common factor number .

Step-1: Prime Factorization of 30972

Prime factors of 30972 are 2, 3, 29, 89. Prime factorization of 30972 in exponential form is:

30972 = 2² × 3¹ × 29¹ × 89¹

Step-2: Prime Factorization of 30987

Prime factors of 30987 are 3, 11, 313. Prime factorization of 30987 in exponential form is:

30987 = 3² × 11¹ × 313¹

Step-3: Factors of 30972

List of positive integer factors of 30972 that divides 30972 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 89, 116, 174, 178, 267, 348, 356, 534, 1068, 2581, 5162, 7743, 10324, 15486

Step-4: Factors of 30987

List of positive integer factors of 30987 that divides 30972 without a remainder.

1, 3, 9, 11, 33, 99, 313, 939, 2817, 3443, 10329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30972 and 30987. The biggest common factor number is the GCF number.
So the greatest common factor 30972 and 30987 is 3.

Also check out the Least Common Multiple of 30972 and 30987