What is the Greatest Common Factor of 11961 and 11970?

Greatest common factor (GCF) of 11961 and 11970 is 9.

GCF(11961,11970) = 9

We will now calculate the prime factors of 11961 and 11970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11961 and 11970.

How to find the GCF of 11961 and 11970?

We will first find the prime factorization of 11961 and 11970. After we will calculate the factors of 11961 and 11970 and find the biggest common factor number .

Step-1: Prime Factorization of 11961

Prime factors of 11961 are 3, 443. Prime factorization of 11961 in exponential form is:

11961 = 3³ × 443¹

Step-2: 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-3: Factors of 11961

List of positive integer factors of 11961 that divides 11961 without a remainder.

1, 3, 9, 27, 443, 1329, 3987

Step-4: Factors of 11970

List of positive integer factors of 11970 that divides 11961 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11961 and 11970. The biggest common factor number is the GCF number.
So the greatest common factor 11961 and 11970 is 9.

Also check out the Least Common Multiple of 11961 and 11970