What is the Greatest Common Factor of 53898 and 53913?

Greatest common factor (GCF) of 53898 and 53913 is 3.

GCF(53898,53913) = 3

We will now calculate the prime factors of 53898 and 53913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53898 and 53913.

How to find the GCF of 53898 and 53913?

We will first find the prime factorization of 53898 and 53913. After we will calculate the factors of 53898 and 53913 and find the biggest common factor number .

Step-1: Prime Factorization of 53898

Prime factors of 53898 are 2, 3, 13, 691. Prime factorization of 53898 in exponential form is:

53898 = 2¹ × 3¹ × 13¹ × 691¹

Step-2: Prime Factorization of 53913

Prime factors of 53913 are 3, 17971. Prime factorization of 53913 in exponential form is:

53913 = 3¹ × 17971¹

Step-3: Factors of 53898

List of positive integer factors of 53898 that divides 53898 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 691, 1382, 2073, 4146, 8983, 17966, 26949

Step-4: Factors of 53913

List of positive integer factors of 53913 that divides 53898 without a remainder.

1, 3, 17971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53898 and 53913. The biggest common factor number is the GCF number.
So the greatest common factor 53898 and 53913 is 3.

Also check out the Least Common Multiple of 53898 and 53913