What is the Greatest Common Factor of 60914 and 60933?

Greatest common factor (GCF) of 60914 and 60933 is 19.

GCF(60914,60933) = 19

We will now calculate the prime factors of 60914 and 60933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60914 and 60933.

How to find the GCF of 60914 and 60933?

We will first find the prime factorization of 60914 and 60933. After we will calculate the factors of 60914 and 60933 and find the biggest common factor number .

Step-1: Prime Factorization of 60914

Prime factors of 60914 are 2, 7, 19, 229. Prime factorization of 60914 in exponential form is:

60914 = 2¹ × 7¹ × 19¹ × 229¹

Step-2: Prime Factorization of 60933

Prime factors of 60933 are 3, 19, 1069. Prime factorization of 60933 in exponential form is:

60933 = 3¹ × 19¹ × 1069¹

Step-3: Factors of 60914

List of positive integer factors of 60914 that divides 60914 without a remainder.

1, 2, 7, 14, 19, 38, 133, 229, 266, 458, 1603, 3206, 4351, 8702, 30457

Step-4: Factors of 60933

List of positive integer factors of 60933 that divides 60914 without a remainder.

1, 3, 19, 57, 1069, 3207, 20311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60914 and 60933. The biggest common factor number is the GCF number.
So the greatest common factor 60914 and 60933 is 19.

Also check out the Least Common Multiple of 60914 and 60933