What is the Greatest Common Factor of 11970 and 11989?

Greatest common factor (GCF) of 11970 and 11989 is 19.

GCF(11970,11989) = 19

We will now calculate the prime factors of 11970 and 11989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11970 and 11989.

How to find the GCF of 11970 and 11989?

We will first find the prime factorization of 11970 and 11989. After we will calculate the factors of 11970 and 11989 and find the biggest common factor number .

Step-1: Prime Factorization of 11970

Prime factors of 11970 are 2, 3, 5, 7, 19. Prime factorization of 11970 in exponential form is:

11970 = 2¹ × 3² × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 11989

Prime factors of 11989 are 19, 631. Prime factorization of 11989 in exponential form is:

11989 = 19¹ × 631¹

Step-3: Factors of 11970

List of positive integer factors of 11970 that divides 11970 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 30, 35, 38, 42, 45, 57, 63, 70, 90, 95, 105, 114, 126, 133, 171, 190, 210, 266, 285, 315, 342, 399, 570, 630, 665, 798, 855, 1197, 1330, 1710, 1995, 2394, 3990, 5985

Step-4: Factors of 11989

List of positive integer factors of 11989 that divides 11970 without a remainder.

1, 19, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11970 and 11989. The biggest common factor number is the GCF number.
So the greatest common factor 11970 and 11989 is 19.

Also check out the Least Common Multiple of 11970 and 11989