What is the Greatest Common Factor of 65898 and 65913?

Greatest common factor (GCF) of 65898 and 65913 is 3.

GCF(65898,65913) = 3

We will now calculate the prime factors of 65898 and 65913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65898 and 65913.

How to find the GCF of 65898 and 65913?

We will first find the prime factorization of 65898 and 65913. After we will calculate the factors of 65898 and 65913 and find the biggest common factor number .

Step-1: Prime Factorization of 65898

Prime factors of 65898 are 2, 3, 7, 523. Prime factorization of 65898 in exponential form is:

65898 = 2¹ × 3² × 7¹ × 523¹

Step-2: Prime Factorization of 65913

Prime factors of 65913 are 3, 127, 173. Prime factorization of 65913 in exponential form is:

65913 = 3¹ × 127¹ × 173¹

Step-3: Factors of 65898

List of positive integer factors of 65898 that divides 65898 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 523, 1046, 1569, 3138, 3661, 4707, 7322, 9414, 10983, 21966, 32949

Step-4: Factors of 65913

List of positive integer factors of 65913 that divides 65898 without a remainder.

1, 3, 127, 173, 381, 519, 21971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65898 and 65913. The biggest common factor number is the GCF number.
So the greatest common factor 65898 and 65913 is 3.

Also check out the Least Common Multiple of 65898 and 65913