What is the Greatest Common Factor of 66899 and 66913?

Greatest common factor (GCF) of 66899 and 66913 is 7.

GCF(66899,66913) = 7

We will now calculate the prime factors of 66899 and 66913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66899 and 66913.

How to find the GCF of 66899 and 66913?

We will first find the prime factorization of 66899 and 66913. After we will calculate the factors of 66899 and 66913 and find the biggest common factor number .

Step-1: Prime Factorization of 66899

Prime factors of 66899 are 7, 19, 503. Prime factorization of 66899 in exponential form is:

66899 = 7¹ × 19¹ × 503¹

Step-2: Prime Factorization of 66913

Prime factors of 66913 are 7, 11, 79. Prime factorization of 66913 in exponential form is:

66913 = 7¹ × 11² × 79¹

Step-3: Factors of 66899

List of positive integer factors of 66899 that divides 66899 without a remainder.

1, 7, 19, 133, 503, 3521, 9557

Step-4: Factors of 66913

List of positive integer factors of 66913 that divides 66899 without a remainder.

1, 7, 11, 77, 79, 121, 553, 847, 869, 6083, 9559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66899 and 66913. The biggest common factor number is the GCF number.
So the greatest common factor 66899 and 66913 is 7.

Also check out the Least Common Multiple of 66899 and 66913