What is the Greatest Common Factor of 11950 and 11970?

Greatest common factor (GCF) of 11950 and 11970 is 10.

GCF(11950,11970) = 10

We will now calculate the prime factors of 11950 and 11970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11950 and 11970.

How to find the GCF of 11950 and 11970?

We will first find the prime factorization of 11950 and 11970. After we will calculate the factors of 11950 and 11970 and find the biggest common factor number .

Step-1: Prime Factorization of 11950

Prime factors of 11950 are 2, 5, 239. Prime factorization of 11950 in exponential form is:

11950 = 2¹ × 5² × 239¹

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 11950

List of positive integer factors of 11950 that divides 11950 without a remainder.

1, 2, 5, 10, 25, 50, 239, 478, 1195, 2390, 5975

Step-4: Factors of 11970

List of positive integer factors of 11970 that divides 11950 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 11950 and 11970. The biggest common factor number is the GCF number.
So the greatest common factor 11950 and 11970 is 10.

Also check out the Least Common Multiple of 11950 and 11970