What is the Greatest Common Factor of 53925 and 53934?

Greatest common factor (GCF) of 53925 and 53934 is 3.

GCF(53925,53934) = 3

We will now calculate the prime factors of 53925 and 53934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53925 and 53934.

How to find the GCF of 53925 and 53934?

We will first find the prime factorization of 53925 and 53934. After we will calculate the factors of 53925 and 53934 and find the biggest common factor number .

Step-1: Prime Factorization of 53925

Prime factors of 53925 are 3, 5, 719. Prime factorization of 53925 in exponential form is:

53925 = 3¹ × 5² × 719¹

Step-2: Prime Factorization of 53934

Prime factors of 53934 are 2, 3, 89, 101. Prime factorization of 53934 in exponential form is:

53934 = 2¹ × 3¹ × 89¹ × 101¹

Step-3: Factors of 53925

List of positive integer factors of 53925 that divides 53925 without a remainder.

1, 3, 5, 15, 25, 75, 719, 2157, 3595, 10785, 17975

Step-4: Factors of 53934

List of positive integer factors of 53934 that divides 53925 without a remainder.

1, 2, 3, 6, 89, 101, 178, 202, 267, 303, 534, 606, 8989, 17978, 26967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53925 and 53934. The biggest common factor number is the GCF number.
So the greatest common factor 53925 and 53934 is 3.

Also check out the Least Common Multiple of 53925 and 53934